Shock Waves and Singular Solitary Waves for the Perturbed Cubic Boussinesq Equation

Authors

Lakhveer Kaur Department of Mathematics, Jaypee Institute of Information Technology, Noida, 201304, India
Omer Mohammed Khodayer Al-Dulaimi Department of Communication Technical Engineering, Al-Farahidi University, Baghdad, 10015, Iraq
Farag Mahel Mohammed Al-Nibras University-Iraq, Tikrit, 34001, Iraq
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 https://orcid.org/0000-0003-4443-3337
Luminita Moraru Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, Galati, 800008, Romania
Anjan Biswas Department of Mathematics and Physics, Grambling State University, Grambling, LA, 71245-2715, USA https://orcid.org/0000-0002-8131-6044

DOI:

https://doi.org/10.37256/cm.6520257040

Keywords:

shock waves, integrability, parameter constraints

Abstract

This paper recovers the shock waves and solitary wave solutions of the perturbed newly-proposed cubic Boussinesq equation. The integration scheme is the G′/G-expansion. The perturbation terms arise in various physical features in shallow water wave dynamics. The solutions are listed along with the parameter constraints for the existence of such solutions.

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Published

2025-09-08

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025)

Section

Research Article

License

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