Nonlinear dynamics

10 years of teaching experience at VSSUT.

Nonlinear analysis, Mathematical physics, Soliton, Applied mathematics, Exact solutions of Partial Differential Equations

1. felicitated for publishing five or more journal papers in SCI/SCIE/SCOPUS (unpaid) for 2022-23

International Publications

2024
1. Behera S, Virdi JPS, Analytical solutions fractional order partial differential equations arising in fluid dynamics, Applied Mathematics-A Journal of Chinese Universities,2024 . (SCIE , I/F-1.2 )
2. Behera, S, Mohanty , S, Rezazadeh, H, Akinyemi, L. Dynamical Properties and Novel Wave Solutions of Ion Sound Langmuir Wave Equation in Fluid Dynamics, Nonlinear Opt Quantum Opt (2024). (ESCI , Scopus, I/F-0.26 )
3. Behera, S. Optical solitons for the Hirota-Ramnai eqution via improved (G’/G2)-expansion method, Mod. Phys. Lett. B, ,2450403 (2024). https://doi.org/10.1142/S0217984924504037 (SCI, I/F-1.8, Cite Score-3.7)
4. Behera, S. Multiple soliton solutions of some conformable fractional nonlinear models using Sine–Cosine method. Opt Quant Electron 56, 1235 (2024). https://doi.org/10.1007/s11082-024-06403-w (SCI, I/F-3.3)
5. Behera, S., Aljahdaly, N.H. Soliton Solutions of Nonlinear Geophysical Kdv Equation Via Two Analytical Methods. Int J Theor Phys 63, 107 (2024). https://doi.org/10.1007/s10773-024-05647-2 (SCIE, I/F-1.3)
2023
6. Behera S. Analytical Solutions In terms of Solitonic Wave Profiles of Phi-four Equation. Nonlinear Opt Quantum Opt 59, no. 3-4 (2023): 253-261. (ESCI , Scopus, I/F-0.26 )
7. Behera, S, Mohanty , S, and Virdi, J, S. Analytical solutions and mathematical simulation of traveling wave solutions to fractional order nonlinear equations. Partial Differential Equations in Applied Mathematics 8 (2023): 100535. https://doi.org/10.1016/j.padiff.2023.100535 (Scopus, Cite score-3.4 )
8. Behera, S., and J. P. Virdi. Generalized soliton solutions to Davey–Stewartson equation. Nonlinear Opt Quantum Opt 57, no. 3-4 (2023): 325-337. (ESCI , Scopus, I/F-0.26 )
9. Behera, S., and N. H. Aljahdaly. Nonlinear evolution equations and their traveling wave solutions in fluid media by modified analytical method. Pramana 97, no. 3 (2023): 130. https://doi.org/10.1007/s12043-023-02602-4 (SCI, I/F-1.9)
10. Behera, S., Analysis of travelling wave solutions of two space-time nonlinear fractional differential equations by the first-integral method, Mod. Phys. Lett. B,38 (4) 2350247 , 2023. https://doi.org/10.1142/S0217984923502470 (SCI, I/F--1.8, Cite Score-3.7)
11. Behera S. Dynamical solutions and quadratic resonance of nonlinear perturbed Schr$ddot{o}$dinger equation, Front Appl Math Stat., 2023;8:1086766. https://doi.org/10.3389/fams.2022.1086766 (ESCI , Scopus, I/F-1.3, Cite Score-1.9 )
12. Behera S, Virdi JPS, Some more solitary traveling wave solutions of nonlinear evolution equations, Discontinuity Nonlinearity Complex. 2023;12(1):75-85. http://dx.doi.org/10.5890/DNC.2023.03.006 (Scopus, I/F-0.49 )
13. Behera, S., Virdi, J.P.S., Analytical solutions of some fractional order nonlinear evolution equations by sine-cosine method, Discontinuity Nonlinearity Complex., 11(2) 275-286 (2023). https://doi.org/10.5890/DNC.2023.06.004 (Scopus, I/F-0.49 )
2022
14. Yao, S.W., Behera, S., Inc, M., Rezazadeh, H., Virdi, J.P.S., Mahmoud, W., Arqub, O.A. and Osman, M.S.: Analytical solutions of conformable Drinfel’d–Sokolov–Wilson and Boiti Leon Pempinelli equations via sine–cosine method, Results Phys., 42 105990 (2022). https://doi.org/10.1016/j.rinp.2022.105990 (SCI, I/F-5.3, Cite Score-8.7)
15. Behera S, Aljahdaly NH, Virdi, JPS. On the modified $(fr{G'}{G^2})$-expansion method for finding some analytical solutions of the traveling waves, J Ocean Eng Sci. 2022;7(4):313-320. https://doi.org/10.1016/j.joes.2021.08.013 (SCIE, I/F-7.1, Cite Score-11.5)

International Conferences

1. Behera, S., Analytical solutions of fractional order Newell-Whitehead-Segel equation, Somnath Bhattacharyya and Hari Shankar Mahato, Proceedings of the International Conference on Modeling Analysis and Simulations of Multi-scale Transport Phenomena, Springer, Singapore
2. Behera, S., Singh Virdi, J. (2022). Traveling Wave Solutions of Some Coupled Nonlinear Systems by Sine–Cosine Approach. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_66