Shock Wave and Singular Solitary Wave Perturbation with Gardners Equation Having Dispersion Triplet

Authors

Lakhveer Kaur Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201304, India
Anjan Biswas Department of Mathematics & Physics, Grambling State University, Grambling, LA, 71245-2715, USA https://orcid.org/0000-0002-8131-6044
Ahmed H. Arnous Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, 11837, Egypt
Yakup Yildirim Department of Computer Engineering, Biruni University, Istanbul, 34010, Turkey
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
Mushin J. Jweeg Department of Aeronautical Technical Engineering, College of Technical Engineering, Al-Farahidi University, Baghdad, 10017, Iraq

DOI:

https://doi.org/10.37256/cm.6320256903

Keywords:

shock wave, solitary wave, Gardners equation

Abstract

The current paper recovers the shock wave and solitary wave solutions to the well-known Korteweg-de Vriesmodified Korteweg-de Vries (KdV-mKdV) equation with perturbation terms that is alternately known as the Gardners equation. The integration scheme adopted in this work to retrieve such solutions is the G′/G-expansion. The results appear with parameter constraints for the existence of such waves and these are also presented.

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Published

2025-06-20

How to Cite

Kaur L, Biswas A, Arnous AH, Yildirim Y, Moraru L, Jweeg MJ. Shock Wave and Singular Solitary Wave Perturbation with Gardners Equation Having Dispersion Triplet. Contemp. Math. [Internet]. 2025 Jun. 20 [cited 2026 Jan. 9];6(3):3743-62. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6903

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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.