Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet

Authors

Lakhveer Kaur Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201304, India
Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul, 34010, Turkey
Ahmed H. Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, 11837, Egypt
Luminita Moraru Department of Chemistry, Physics and Environment, Faculty of Sciences and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008, Galati, Romania
Aymen Mohammed Khodayer Al-Dulaimi Department of Communications Technical Engineering, College of Engineering Techniques, Al-Farahidi University, Baghdad, 10015, Iraq
Amer Shaker Mahmood Department of Medical Laboratory Techniques, Al-Nibras University, Tikrit, 34001, Iraq
Anjan Biswas Department of Mathematics & Physics, Grambling State University, Grambling, LA, 71245-2715, USA https://orcid.org/0000-0002-8131-6044

DOI:

https://doi.org/10.37256/cm.6320256967

Keywords:

solitary waves, shock waves, G′/G-expansion

Abstract

This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration method is the G′/G-expansion method. The numerical simulations supplement the analytical results for such waves.

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Published

2025-06-20

Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.