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 (unauthenticated)
  • 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

Issue

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

Section

Research Article

License

Copyright (c) 2025 Lakhveer Kaur, Anjan Biswas, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Mushin J. Jweeg

Creative Commons License

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

How to Cite

1.
Shock Wave and Singular Solitary Wave Perturbation with Gardners Equation Having Dispersion Triplet. Contemp. Math. [Internet]. 2025 Jun. 20 [cited 2025 Dec. 24];6(3):3743-62. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6903