Details of Research Publications in Journals:
* Corresponding author
(1) V. D. Sharma and Rajan Arora*, Similarity Solutions for Strong Shocks in an Ideal Gas, Studies in Applied Mathematics (USA), vol. 114, pp. 375-394, 2005. (Impact Factor- 0.701) (SCIE) (Q2).
(2) Rajan Arora*, Similarity Solutions and Evolution of Weak Discontinuities in a Van der Waals Gas, published in The Canadian Applied Mathematics Quarterly, vol. 13 (4), pp. 297-311, 2005.
(3) Rajan Arora* and V. D. Sharma, Convergence of Strong Shock in a Van der Waals Gas, SIAM J. Applied Mathematics (USA), vol. 66 (5), pp. 1825-1837, 2006. (Impact Factor-1.425) (SCIE) (Q1).
(4) Rajan Arora*, Wave Interaction and Resonance in a Van der Waals Gas, The Canadian Applied Mathematics Quarterly, vol. 14 (1), pp. 11-20, 2006.
(5) Rajan Arora* and V. D. Sharma, Converging and Diverging Shock Waves of Arbitrary Strength in a Van der Waals Gas, The Canadian Applied Mathematics Quarterly, vol. 14 (4), pp. 361-383, 2006.
(6) Rajan Arora*, Spherical Shock waves in Magneto-Gas-Dynamics, The Canadian Applied Mathematics Quarterly, vol. 15 (1), pp. 11-22, 2007.
(7) Rajan Arora*, Nonlinear Waves in Magnetic Field, The Canadian Applied Mathematics Quarterly, vol. 15 (2), pp. 113 - 123, 2007.
(8) Rajan Arora*, Similarity Solutions for Strong Shocks in MHD, The Canadian Applied Mathematics Quarterly, vol. 15 (3), pp. 235 - 246, 2007.
(9) Rajan Arora*, Weakly Non-linear Geometrical Acoustic Solutions for Reactive Shock Hydrodynamics, The Canadian Applied Mathematics Quarterly, vol.15 (4), pp. 337-348, 2007.
(10) Rajan Arora*, Non-planar Shock Waves in a Magnetic Field, Computers and Mathematics with Applications, vol. 56, pp. 2686-2691, 2008. (Impact Factor-0.997) (SCIE) (Q2). Pergamon-Elsevier Science Ltd, Oxford, England.
(11) Rajan Arora*, Amit Tomar and V. P. Singh, Shock waves in reactive hydrodynamics, Shock Waves, vol. 19 (2), pp. 145 - 150, 2009. (Impact Factor-0.442) (SCIE) (Q4) (Springer, NY, USA).
(12) Rajan Arora*, Asymptotical Solutions for vibrationally relaxing gas, Mathematical Modelling and Analysis, vol. 14 (4), pp. 423-434, 2009. Doi:10.3846/1392-6292.2009.14.423-434. (Impact Factor-0.602) (SCIE) (Q3). (Taylor & Francis).
(13) Rajan Arora* and Anoop Kumar, Soliton Solution of GKDV, RLW, GEW and GRLW Equations by Sine-hyperbolic Function Method, American Journal of Computational and Applied Mathematics, vol. 1(1), pp. 1-4, 2011. (Scientific and Academic Publishing, p-ISSN: 2165-8935, e-ISSN: 2165-8943, DOI: 10. 5923/j.ajcam.20110101.01).
(14) Rajan Arora*, Similarity Solutions for Reactive Shock Hydrodynamics, American Journal of Computational and Applied Mathematics, vol. 1(1), pp. 11-14, 2011. (Scientific and Academic Publishing, p-ISSN: 2165-8935, e-ISSN: 2165-8943, DOI: 10.5923/j.ajcam.20110101.03).
(15) Rajan Arora* and Anoop Kumar, Soliton Solution for the BBM and MRLW Equations by Cosine-function Method, Applied Mathematics, vol. 1(2), pp. 59-61, 2011. (Scientific and Academic Publishing, p-ISSN:2163-1409, e-ISSN: 2163-1425, DOI: 10.5923/j.am.20110102.09).
(16) Rajan Arora*, Mohd. Junaid Siddiqui and V. P. Singh, Solution of the Modified Equal Width Equation, its Variant and Non-homogeneous Burgers’ Equation by RDT Method, American Journal of Computational and Applied Mathematics, vol. 1(2), pp. 53-56, 2011. (Scientific and Academic Publishing, p-ISSN: 2165-8935, e-ISSN: 2165-8943, DOI: 10. 5923/j.ajcam.20110101.01).
(17) Rajan Arora* and Sanjay Yadav, Traveling Wave Solutions For The Generalized Forms B(N, N) And B(-N, -N) of Burgers’ Equation By (G′/G)-Expansion Method, The Canadian Applied Mathematics Quarterly, vol.19(4), pp. 297-305, 2011.
(18) Rajan Arora*, Amit Tomar and Ved Pal Singh, Similarity Solutions for Strong Shocks in a Non-Ideal Gas, Mathematical Modelling and Analysis, vol. 17 (3), pp. 351-365, 2012, (Impact Factor-0.590, SCIE) (Q2). (Taylor & Francis)
(19) Rajan Arora and Sanjay Yadav, The (G`/G)-Expansion Method for Traveling Wave Solutions of Burgers’ Kdv and Generalization of Huxley Equations, American Journal of Computational and Applied Mathematics, vol. 2(3), pp. 119-123, 2012. (Scientific and Academic Publishing, p-ISSN: 2165-8935, e-ISSN: 2165-8943, DOI: 10.5923/j.ajcam.20120203.09).
(20) Rajan Arora and Sanjay Yadav, Application of The (𝑮`/𝑮)-Expansion Method for Solving the Generalized Forms B(N,1) andB(-N,1) of Burgers’ Equation, Applied Mathematics, vol. 2(3), pp. 66-69, 2012 (Scientific and Academic Publishing, p-ISSN:2163-1409, e-ISSN: 2163-1425, DOI: 10.5923/j.am.20120203.04).
(21) Rajan Arora*, Amit Tomar and V. P. Singh, Numerical Simulation of Ito Coupled System by Homotopy Analysis Method, Advanced Science, Engineering and Medicine, vol. 4(6), pp. 522-529, 2012.
(22) Rajan Arora, Mohd. Junaid Siddiqui and V. P. Singh, Wave Interaction and Resonance in a Non-Ideal Gas, Chinese Physics Letters, vol. 29 (12), pp 1- 4, 120202, 2012, (Impact Factor-0.811, SCIE) (Q3).
(23) Rajan Arora, Junaid Siddiqui and V. P. Singh, Solution of Inviscid Burgers’ equation and EW wave equation by RDT method, International Journal of Applied Physics and Mathematics, vol. 2(3), pp. 212-214, 2012.
(24) Rajan Arora, Mohd. Junaid Siddiqui and V. P. Singh, Similarity Method for Imploding strong shocks in a non-ideal relaxing gas, International Journal of Non-Linear Mechanics, vol. 57, pp. 1-9, 2013, (Impact Factor-1.463, SCIE) (Q2). Elsevier
(25) Rajan Arora, Mohd. Junaid Siddiqui, Evolutionary behavior of weak shocks in a non-ideal gas, Journal of Theoretical and Applied Physics, 7(14), pp. 1-6, 2013, DOI:10.1186/2251-7235-7-14, ISSN 2251-7235. (ESCI). Springer Heidelberg, Germany
(26) Rajan Arora and Anoop Kumar, Solution of the Coupled Drinfeld’s–Sokolov–Wilson (DSW) System by Homotopy Analysis Method, Advanced Science, Engineering and Medicine, vol. 5(10), pp.1105-1111, 2013. American Scientific Publishers.
(27) Anoop Kumar and Rajan Arora, Solutions of the coupled system of Burgers’ equations and coupled Klein-Gordon equation by RDT Method, International Journal of Advances in Applied Mathematics and Mechanics, vol. 1(2), pp.103-115, 2013.
(28 ) Rajan Arora and M. J. Siddiqui, Homotopy Analysis method for the coupled system of nonlinear Partial Differential Equations, Advanced Science, Engineering and Medicine, vol. 5(5), pp 463-467, 2013. American Scientific Publishers.
(29) Anoop Kumar and Rajan Arora, Solution of the Nagumo’s equation by reduced differential transform (RDT) Method, Mathematical Science International Research Journal, vol. 3(1), pp. 339-342, 2014. International Multidisciplinary Research Foundation.
(30) Anoop Kumar and Rajan Arora, Solution of the non-linear partial differential equations by RDT Method, Mathematics in Engineering, Science and Aerospace, vol. 5(2), pp. 105-112, 2014. SCImago. Cambridge Scientific Publishers Ltd.
(31) Rajan Arora, Sanjay Yadav and M. J. Siddiqui, Similarity method for study of strong shock waves in magenatogasdynamics, Boundary Value Problems, vol. 142, pp. 1-15, 2014. doi:10.1186/s13661-014-0142-2. (Impact Factor-1.014, SCI) (Q1). Springer
(32) Rajan Arora and Ankita Sharma, A comparative study on variational iteration method & modified variational iteration method, Mathematical Science International Research Journal, vol. 3(1), pp. 347-350, 2014.
(33) Amit Tomar and Rajan Arora, Numerical Simulation of coupled MKdV equation by reduced differential transform method, Journal of Computational Methods in Science & Engineering, vol. 14, pp. 269-275, 2014. IOS Press
(34) M. J. Siddiqui and Rajan Arora, An Exact Similarity Solution for Spherical Shocks in a Relaxing Gas, National Academy Science Letters, vol. 38(5), pp. 433-435, 2015. (Impact Factor-0.345, SCIE) (Q4). Springer
(35) Rajan Arora* and Ankita Sharma, Similarity Solutions of Cylindrical Shock Waves in Magnetogasdynamics with Thermal Radiation, Journal of Computational and Nonlinear Dynamics, vol. 11, 031001 (6 pages), May 2016, DOI: 10.1115/1.4031651. (SCIE) (Impact Factor-1.732) (Q2). ASME, USA.
(36) Mohd. Junaid Siddiqui, Rajan Arora and Anoop Kumar, Shock Waves Propagation under the influence of Magnetic field, Chaos, Solitons and Fractals, vol. 97, pp. 66-74, 2017, (SCIE) (Impact Factor-2.4) (Q2). Pergamon-Elsevier, England.
(37) Ankita Sharma and Rajan Arora, Solution of Fisher-type, Cubic-Boussinesq & 7th order Caudrey-Dodd-Gibbon equation by MVIM, International Journal of Applied and Computational Mathematics, vol. 3(4), pp. 3857-3875, 2017. Springer
(38) Anoop Kumar and Rajan Arora, Similarity Solution of Spherical Shock Waves in an Ideal Gas with Thermal Radiation, International Journal of Mathematical Archive, vol. 8(6), pp. 30-40, 2017.
(39) Rajan Arora and Hariom Sharma, Application of HAM to seventh order KdV equations, Int. J. System Assurance Engg. and Management, vol. 9(1), pp. 131-138, 2018. (ESCI) Springer
(40) Rajan Arora and Antim Chauhan, Lie Symmetry Reductions and Solitary Wave Solutions of Modified Equal Width Wave Equation, International Journal of Applied and Computational Mathematics, vol. 4(5), Article No. 122, 2018, DOI:10.1007/s40819-018-0557-z. Springer
(41) Mohd. Junaid Siddiqui, Rajan Arora, V. P. Singh, Propagation of non-linear waves in a non-ideal relaxing gas. International Journal of Computer Mathematics, vol. 95(11), pp. 2330-2342, 2018. (SCIE) (Impact Factor-1.196) (Q2). Taylor and Francis
(42) Antim Chauhan, Rajan Arora, and Amit Tomar, Convergence of strong shock waves in non-ideal magnetogasdynamics, Physics of Fluids, vol. 30, 116105, DOI: 10.1063/1.5051589, 2018. (IF-2.627, SCIE) (Q2). AIP Publishing, USA
(43) Hariom Sharma and Rajan Arora, Similarity Solutions of Cylindrical Shock Waves in Non-Ideal Magnetogasdynamics with Thermal Radiation, Differential Equations and Dynamical Systems, vol. 27, pp. 169-180, 2019. DOI 10.1007/s12591-017-0392-4, (H-Index- 14) (ESCI). Springer
(44) Amit Tomar, Rajan Arora and Antim Chauhan, Propagation of strong shock waves in a non-ideal gas, Acta Astronautica, vol. 159, pp. 96–104, 2019. (Impact Factor-2.833) (SCIE) (Q1). Pergamon-Elsevier, England
(45) Astha Chauhan and Rajan Arora, Time fractional Kupershmidt equation: Symmetry analysis and explicit series solution with convergence analysis, Communications in Mathematics, vol. 27 (2), pp. 171-185, 2019. (MCQ-0.17). Published by University of Ostrava.
(46) Rajan Arora and Astha Chauhan, Lie Symmetry Analysis and Some Exact Solutions of (2+1)-dimensional KdV-Burgers Equation, Int. J. Applied and Computational Mathematics, vol. 5(1), Article No. 15, 2019. DOI: 10.1007/s40819-019-0603-5. Springer
(47) Astha Chauhan and Rajan Arora, Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas, Book chapter in Advances in Applied Mathematical Analysis and Applications, 1st Edition, 2019, River Publishers, Denmark.
(48) Astha Chauhan and Rajan Arora, Some exact solutions of (1+ 1)-dimensional Kaup-system and seventh-order Kawahara equation, Malaya Journal of Matematik, vol. 8(1), pp. 151-158, 2020.
(49) Astha Chauhan, Rajan Arora and Mohd. Junaid Siddiqui, Propagation of Blast Waves in a Non-Ideal Magnetogasdynamics, Symmetry, vol. 11(4), 458 (13 pages), 2019. DOI: 10.3390/sym11040458. (Impact Factor-2.645) (SCIE) (Q2). MDPI-Basel, Switzerland
(50) Astha Chauhan and Rajan Arora, Similarity Solutions of Strong Shock Waves for Isothermal Flow in an Ideal Gas, International Journal of Mathematical, Engineering and Management Sciences, vol. 4(5), pp. 1094-1107, 2019.
(51) Ankita Sharma and Rajan Arora, Analytical and Numerical Analysis of Newell-Whitehead-Segel equations by HAM, Int. J. Mathematics and its Applications, vol. 7(2), pp. 105-113, 2019, ISSN: 2347-1557.
(52) Munesh Devi, Rajan Arora*, Mustafa M. Rahman and Mohd. Junaid Siddiqui, Converging Cylindrical Symmetric Shock Waves in a Real Medium with a Magnetic Field, Symmetry, vol. 11(9), 1177 (19 pages), 2019. DOI:10.3390/sym11091177. (Impact Factor-2.645) (SCIE) (Q2). MDPI-Basel, Switzerland.
(53) Astha Chauhan and Rajan Arora, Self-similar solutions of cylindrical shock wave in a dusty gas, Indian Journal of Physics, vol. 93, pp. 665-673, 2020. DOI: 10.1007/s12648-019-01499-3. (JCI-0.48) Springer
(54) Ankita Sharma and Rajan Arora, 7th Order Caudrey-Dodd-Gibbon Equation and Fisher-Type Equation by Homotopy Analysis Method, International Journal of Mathematical, Engineering and Management Sciences, vol. 5(2), pp. 272-282, 2020. (ESCI)
(55) Antim Chauhan, Rajan Arora and Amit Tomar, Converging Shock waves in a Van der Waals gas of variable density, Quarterly Journal of Mechanics and Applied Mathematics (QJMAM), vol. 73 (2), pp. 101-118, 2020. (SCIE) (Impact Factor-1.000) (Q3). Oxford University Press, England
(56) Kajal Sharma, Rajan Arora, Astha Chauhan and Ashish Tiwari, Propagation of Waves in a non-ideal magnetogasdynamics with dust particles, Zeitschriftfür Naturforschung A – A Journal of Physical Sciences (ZNA), vol. 75 (3), pp. 193-200, 2020. (SCIE, Impact Factor-1.426) (Q3). De Gruyter Publications
(57) Kajal Sharma, Rajan Arora and Astha Chauhan, Invariance analysis, exact Solutions and conservation laws of (2+1)-dimensional dispersive long wave equations, Physica Scripta, vol. 95 (5), Paper Id 055207, 11 Pages, 2020. DOI: 10.1088/1402-4896/ab5eae (SCIE, Impact Factor-2.487) (Q2). IOP Publishing Ltd
(58) Antim Chauhan, Rajan Arora and Amit Tomar, Lie Symmetry Analysis and Travelling Wave Solutions of Equal Width Wave Equation, Proyecciones Journal of Mathematics, vol. 39, pp. 173-192, 2020. (Impact Score-0.61) (SCImago), (Scopus)
(59) Deepika Singh and Rajan Arora, Similarity Solutions for Imploding Shocks in a Non-ideal Magnetogasdynamics, International Journal of Applied and Computational Mathematics, vol. 6(2), Article number: 46, 2020. DOI: 10.1007/s40819-020-0798-5. Springer Publications
(60) Astha Chauhan and Rajan Arora*, Solution of the Riemann Problem for an Ideal Polytropic Dusty Gas in Magnetogasdynamics, Zeitschriftfür Naturforschung A – A Journal of Physical Sciences (ZNA), vol. 75(6), pp. 511-522, 2020. https://doi.org/10.1515/zna-2019-0381. (SCIE) (Impact Factor-1.426) (Q3). De Gruyter Publications
(61) Astha Chauhan, Kajal Sharma and Rajan Arora*, Lie Symmetry Analysis, Optimal System, and Generalized Group Invariant Solutions of the (2+1)-Dimensional Date-Jimbo-Kashiwara-Miwa Equation, Mathematical Methods in the Applied Sciences, vol. 43(15), pp. 8823-8840, 2020. DOI: 10.1002/mma.6547. (SCIE) (Impact Factor-2.321) (Q1) Wiley Publications, USA.
(62) Deepika Singh, Astha Chauhan and Rajan Arora*, Similarity Solutions for Strong Shock Waves in Magnetogasdynamics under a Gravitational Field, June 2020, Ricerche di Matematica. DOI:10.1007/s11587-020-00529-1. (SCIE) (Impact Factor-1.034) (Q3). Springer-Verlag Publications, Italy
(63) Deepika Singh and Rajan Arora*, Propagation of shock waves in a non-ideal gas under the action of magnetic field, Mathematical Methods in the Applied Sciences, vol. 44(2), pp. 1514-1528, 2020. DOI: 10.1002/mma.6848. (SCIE) (Impact Factor-2.321) (Q1) Wiley Publications, USA
(64) Munesh Devi, Rajan Arora and Deepika Singh, Blast waves propagation in magnetogasdynamics: power series method, Zeitschriftfür Naturforschung A, vol. 75 (12), pp. 1036-1050, 2020. DOI: 10.1515/zna-2020-0202. (Impact Factor-1.426) (Q3). De Gruyter Publications, Germany.
(65) Ashish Tiwari and Rajan Arora*, An Impact of forcing terms on the delta shock front, European Physical Journal Plus, vol. 135(7), Article Id 560, July 2020. DOI: 10.1140/epjp/s13360-020-00559-6. (Impact Factor-3.911, SCIE) (Q1). Springer Heidelberg Publications, Germany
(66) Astha Chauhan, Kajal Sharma, Rajan Arora* and Deepika Singh, Similarity solutions for the strong shock waves in magnetogasdynamics with the effect of monochromatic radiation, European Physical Journal Plus, vol. 135(9), Article Id 743, September, 2020. DOI: 10.1140/epjp/s13360-020-00775-0. (Impact Factor-3.911, SCIE) (Q1). Springer Heidelberg, Publications, Germany
(67) Mayank Singh, Astha Chauhan, Kajal Sharma and Rajan Arora*, Kinematics of Spherical Shock Waves in an Interstellar van der Waals Gas Clouds, Physics of Fluids, vol. 32, 107109, 2020. (SCIE), (Impact Factor-3.521, SCIE) (Q1). AIP Publishing, USA
(68) Deepika Singh, Rajan Arora*, Piston driven converging cylindrical shock waves in a non-ideal gas with azimuthal magnetic field, Physics of Fluids, vol. 32, 126116, 2020. (SCIE), (Impact Factor-3.521) (Q1). AIP Publishing, USA.
(69) Swati Chauhan, Rajan Arora and Antim Chauhan, Lie symmetry reductions and wave solutions of coupled equal width wave equation, International Journal of Applied and Computational Mathematics, vol. 6, Article No. 159, October 2020. DOI: 10.1007/s40819-020-0918-y. Springer Publications.
(70) Swati Chauhan, Antim Chauhan and Rajan Arora*, Similarity solutions of converging shock waves in an ideal relaxing gas with dust particles, European Physical Journal Plus, vol. 135, Article Id 825, 2020. DOI: 10.1140/epjp/s13360-020-00823-9. (Impact Factor- 3.911, SCIE) (Q1) Springer-Heidelberg Publications, Germany.
(71) Ankita Sharma and Rajan Arora, Far-field behaviour of waves in non-ideal magnetogasdynamics, Contemporary Mathematics, vol. 1(4), pp. 227-237, 2020.
(72) Kajal Sharma, Astha Chauhan and Rajan Arora*, Ionizing Blast Waves in a Non-Ideal Gas under Isothermal Flow Condition: Power Series Method, Physica Scripta, vol. 96 (1), Paper Id 015217, January 2021. DOI/10.1088/1402-4896/abca5c. (SCIE, Impact Factor-3.081) (Q2). IOP Publishing, England.
(73) Shalini Yadav, Astha Chauhan and Rajan Arora*, Invariance Analysis, Optimal System and Conservation Laws of the (2+1)-dimensional non-Linear Vakhnekho Equation, Pramana- Journal of Physics, vol. 95(1), Article Id 8 (13 pages), December 2021. DOI:10.1007/s12043-020-02059-9. (Impact Factor-2.699) (SCI) (Q3). Indian Academy of Sciences
(74) Shalini Yadav and Rajan Arora*, Lie symmetry analysis, optimal system and invariant solutions of (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles, European Physical Journal Plus, vol. 136(2), Article Id 172, February 2021. DOI: 10.1140/epjp/s13360-021-01073-z. (Impact Factor-3.758, SCIE) (Q2) Springer Heidelberg, Germany
(75) Munesh Devi, Deepika Singh and Rajan Arora*, Similarity solutions for cylindrical shock waves in a non-ideal gas under the action of monochromatic radiation, Journal of Physics A: Mathematical and Theoretical, vol. 54 (12), 125701, 2021. (Impact Factor-2.331) (SCIE) (Q2). IOP Publishing, England
(76) Antim Chauhan and Rajan Arora*, Kinematics of spherical shock waves in an interstellar ideal gas clouds with dust particles, Mathematical Methods in the Applied Sciences, vol. 44(8), pp. 6282-6300, March 2021. DOI: 10.1002/mma.7182. (Impact Factor-3.007) (SCIE) (Q1) Wiley, USA
(77) Munesh Devi, Shalini Yadav and Rajan Arora*, Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach, Applied Mathematics and Computation, vol. 404, 126230, 2021. DOI: 10.1016/j.amc.2021.126230. (Impact Factor-4.397) (SCIE) (Q1) Elsevier Science, USA
(78) Mayank Singh and Rajan Arora*, Propagation of one-dimensional planar and nonplanar shock waves in nonideal radiating gas, Physics of Fluids, vol. 33, 046106, 2021. (SCIE), (Impact Factor-4.98) (Q1). AIP Publishing, USA
(79) Ashish Tiwari, Kajal Sharma and Rajan Arora, Lie Symmetry Analysis, Optimal System, and New Exact Solutions of a (3+1) Dimensional Nonlinear Evolution Equation, Nonlinear Engineering-Modelling & Applications, vol. 10, pp. 132-145, 2021. (ESCI) (SCImago Journal Rank-0.520) (Scopus) (JCI-0.98).
(80) Kajal Sharma and Rajan Arora*, Similarity Solutions for strong shock waves in non-ideal magnetogasdynamics under the effect of monochromatic radiation, Physics of Fluids, 33, 077109, 2021. DOI: 10.1063/5.0053908. (SCIE) (Impact Factor-4.98) (Q1) AIP Publishing, USA
(81) Kajal Sharma, Astha Chauhan and Rajan Arora, Steepening of waves in non-ideal reacting gas with dust particles, Indian Journal of Physics, vol. 95(9), pp. 1813-1819, 2021. DOI: 10.1007/s12648-020-01861-w. (JCI-0.44) (SCIE)
(82) Swati Chauhan, Antim Chauhan and Rajan Arora*, Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents, Zeitschriftfür Naturforschung A (ZNA), vol. 76(12), pp. 1067-1075, 2021. DOI: 10.1515/zna-2021-0049. (SCIE) (Impact Factor-1.712) (Q3) De Gruyter, Germany
(83) Nandita Gupta, Kajal Sharma and Rajan Arora*, Similarity solutions for cylindrical shock wave in self-gravitating non-ideal gas with axial magnetic field: Isothermal flow, Mathematical Methods in the Applied Sciences, vol. 45(3), pp. 1259-1275, 2021. DOI: 10.1002/mma.7850. (SCIE) (Impact Factor-3.007) (Q1) Wiley, USA
(84) Antim Chauhan, Rajan Arora, and Amit Tomar, Piston driven converging shock waves in nonideal magnetogasdynamics of variable density, Physics of Fluids, vol. 33, 116110, DOI: 10.1063/5.0064883, 2021, (Impact Factor-4.98, SCIE) (Q1) AIP, USA
(85) Shalini Yadav, Deepika Singh and Rajan Arora*, Propagation of cylindrical shock waves in rotational axisymmetric dusty gas with magnetic field: Isothermal flow, Physics of Fluids, vol. 33, 127106, DOI: 10.1063/5.0065178, 2021. (Impact Factor-4.98, SCIE) (Q1). AIP, USA
(86) Deepika Singh and Rajan Arora*, An analysis of shock wave propagation in a dusty gas, Mathematical Methods in the Applied Sciences, vol. 45(9), pp. 5149-5164, January 2022. DOI: 10.1002/mma.8098. (SCIE) (Impact Factor-3.007) (Q1) Wiley, USA
(87) Deepika Singh, Antim Chauhan and Rajan Arora*, Convergence of strong shock waves in an ideal gas with dust particles, Physics of Fluids, vol. 34, 026106, 2022. DOI: 10.1063/5.0083223. (Impact Factor-4.98, SCIE) (Q1). AIP, USA
(88) Ashish Tiwari and Rajan Arora*, Lie symmetry analysis, optimal system and exact solutions of a new (2+1)-dimensional KdV equation, Modern Physics Letters B, vol. 36(12), 2250056 (16 pages), 2022. DOI: 10.1142/S0217984922500567. (SCIE) (Impact Factor-1.948) (Q3).World Scientific Publications, Singapore
(89) Shalini Yadav, Deepika Singh and Rajan Arora*, Lie group of invariance technique for analyzing propagation of strong shock wave in a rotating non-ideal gas with azimuthal magnetic field, Mathematical Methods in the Applied Sciences, vol. 45(17), pp. 11889-11904, June 2022. DOI: 10.1002/mma.8486. (SCIE) (Impact Factor-3.007) (Q1) Wiley, USA
(90) Astha Chauhan and Rajan Arora, Invariance analysis and some new exact analytic solutions of the time-fractional coupled Drinfeld-Sokolov-Wilson equations, Communications in Mathematics, vol. 30, pp. 63-80, 2022.
(91) Astha Chauhan, Ashish Tiwari, Kajal Sharma and Rajan Arora*, Steepening of waves in non-ideal radiative magnetogasdynamic flow with dust particles, Pramana- Journal of Physics, vol. 96, Article Id 139, July 2022. DOI: 10.1007/s12043-022-02376-1. (Impact Factor-2.699) (SCIE) (Q3). Indian Academy of Sciences
(92) Deepika Singh, Shalini Yadav and Rajan Arora*, A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions, Communications in Nonlinear Science and Numerical Simulation, vol. 115, 106786, pp. 1-22, 2022. DOI: 10.1016/j.cnsns.2022.106786. (Cite-Score 7.7, H-Index 120, Impact Factor-4.186, SCIE), (Q1). Elsevier, Netherlands.
(93) Ankita Sharma and Rajan Arora, Similarity solutions for imploding strong shock waves in a van der Waals gas, Partial Differential Equations and Applications, vol. 3(6), pp. 1-22, December 2022. DOI: 10.1007/s42985-022-00199-8. Springer
(94) Swati Chauhan, Deepika Singh and Rajan Arora*, Similarity solution for isothermal flow behind the magnetogasdynamic cylindrical shock wave in a rotating non-ideal gas with the effect of the gravitational field, Physics of Fluids, vol. 34, 117118, 2022. DOI: 10.1063/5.0123031. (Impact Factor-4.98, SCIE) (Q1). AIP, USA
(95) Antim Chauhan, Rajan Arora* and Amit Tomar, Converging Strong Shock Waves in Magnetogasdynamics under Isothermal Condition, Ricerche di Matematica, vol. 71, pp. 297-313. 2022. DOI: 10.1007/s11587-020-00491-y. (SCIE) (Impact Factor-1.66) (Q3). Springer Verlag, Italy.
(96) Mayank Singh, Rajan Arora* and Antim Chauhan, One-dimensional cylindrical shock waves in non-ideal gas under the magnetic field, Ricerche di Matematica, vol. 71, pp. 367-379, 2022. (SCIE) (Impact Factor-1.66) (Q3) Springer Verlag, Italy.
(97) Hariom Sharma and Rajan Arora, Lie symmetry analysis of seventh order Caudrey-Dodd-Gibbon equation, Communications in Mathematics, vol. 31 (1), pp. 1-11, 2023.
(98) Mayank Singh and Rajan Arora, Converging strong shock wave from a cylindrical piston in a van der Waals magnetogasdynamics with dust particles, Communications in Nonlinear Science and Numerical Simulation, vol. 116, pp. 1-17, 106870, 2023. DOI: 10.1016/j.cnsns.2022.106870. (Cite-Score-7.7, H-Index-120, Impact Factor-4.186) (SCIE), (Q1). Elsevier, Netherlands
(99) Mayank Singh and Rajan Arora, Generalized Riemann problem for the one-dimensional Chaplygin gas equations with a friction term, International Journal of Non-Linear Mecahnics, vol. 148, 104298, 2023. DOI: 10.1016/j.ijnonlinmec.2022.104298. (Impact Factor-3.336) (SCIE), (Q2). Pergamon-Elsevier, England.
(100) Shalini Yadav, Deepika Singh and Rajan Arora*, The propagation of strong cylindrical shock wave in a rotating axisymmetric non-ideal gas with radiation flux, Mathematical Methods in the Applied Sciences, vol. 46, 10814-10832, 2023. DOI: 10.1002/mma.9153. (SCIE) (Impact Factor-3.007) (Q1) Wiley, USA.
(101) A Chauhan, S Yadav and R Arora*, Propagation of shock waves in a non-ideal gas with dust particles in an intersteller medium, Indian Journal of Physics, 16 pages, 2023. DOI: 10.1007/s12648-023-02675-2.
(102) Aniruddha Kumar Sharma, Shalini Yadav and Rajan Arora*, Invariance analysis, optimal system, and group invariant solutions of (3+1)-dimensional non-linear MA-FAN equation, Mathematical Methods in the Applied Sciences, 27 pages, 2023. DOI: 10.1002/mma.9536. (SCIE) (Impact Factor-3.007) (Q1) Wiley, USA.
(103) N Gupta, M Singh, R Arora, Kinematics of shock waves in a radiating ideal gas containing dust particles, Zeitschrift für angewandte Mathematik und Physik (ZAMP), vol.74, issue 6, Pages 243, 2023.
(104) Ashish Tiwari and Rajan Arora, A self-similar solution for unsteady isothermal and adiabatic flows behind the shock wave in a dusty non-ideal rotating medium under the action of magnetic field, Physica D, 458 (2024) 134006. DOI: 10.1016/j.physd.2023.134006.
(105) Shalini Yadav, Deepika Singh and Rajan Arora, A perturbation approach to study the shock wave propagation in a non-ideal magnetogasdynamics under isothermal condition, Physics of Fluids, vol. 36, 036124, 2024. DOI: 10.1063/5.0196436. (Impact Factor-4.98, SCIE) (Q1), AIP, USA.
(106) N Gupta and Rajan Arora*, Propagation of cylindrical converging shock wave in rotating ideal gas containing dust particles, Physics of Fluids, vol. 36 (12), 2024.
(107) N Gupta, R Arora Approximate analytical solution using power series method for the propagation of blast waves in a rotational axisymmetric non-ideal gas, International Journal of Non-Linear Mechanics, vol. 166, 104825, 2024. (Pergamon Publisher)
(108) S Chauhan, A Chauhan, R Arora, Shock wave kinematics in an inviscid gas with solid dust particles, The European Physical Journal Plus, vol.139, issue 10, Pages 1-15, 2024. (Springer Berlin Heidelberg)
(109) S Yadav, AK Sharma, R Arora, Dynamical behaviours with various analytic solutions to a (2+ 1) extended Boiti–Leon–Manna–Pempinelli equation, Pramana, vol. 98, issue 3, Pages 116, 2024. (Springer India)
(110) A K Sharma, R Arora, Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model, Studies in Applied Mathematics, vol. 153, issue 1, Pages e12692, 2024.
(111) Kajal Sharma and Rajan Arora*, Interaction of an acceleration wave with a characteristic shock in Intersteller gas clouds, Ricerche di Matematica, vol. 73, issue 1, Pages 199-211, 2024. (SCIE) (Springer International Publishing)
(112) A Chauhan, R Arora, Evolution of steepened wave in interstellar gas clouds, Indian Journal of Physics, vol. 99, issue 1, Pages 1-9, 2025. (Springer India)
(113) R Arora, S Mohan, Semi-Analytical Solution For Two-Dimensional Coupled Nonlinear Burgers’equations Using Homotopy Analysis Method, Rocky Mountain Journal of Mathematics, vol. 55, issue 2, pages 299-311, 2025. (Rocky Mountain Mathematics Consortium)
(114) A K Sharma, S Shagolshem, R Arora, Analysis of wave propagation and conservation laws for a shallow water model with two velocities via Lie symmetry, Communications in Nonlinear Science and Numerical Simulation, vol. 143, 108637, 2025. (Elsevier)
(115) A Bhardwaj, D Singh, R Arora, Analysis of magnetogasdynamic shock wave in a self-gravitating non-ideal dusty gas using Lie group theory, Physics of Fluids, vol 137, issue 4, 2025. (AIP Publishing)
(116) M Singh, R Arora, Converging cylindrical shock waves in van der Waals gas with dust particles under the effect of magnetic field, The European Physical Journal Plus, vol.140, issue 5, pages 457, 2025. (Springer Berlin Heidelberg)
(117) AK Sharma, S Shagolshem, R Arora, Shock wave dynamics via symmetry-driven analysis of a two-phase flow with the Chaplygin pressure law, Chaos, Solitons & Fractals, vol.198, 116512, 2025. (Pergamon Publisher)
