Solitary wave solutions of the delayed KP-BBM equation
Analysis of PDEs
2024-05-21 v2 Classical Analysis and ODEs
Abstract
In this paper, we consider a kind of shallow water wave model called the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. We firstly consider the unperturbed KP-BBM equation. Then by using the geometric singular perturbation (GSP) theory, especially the invariant manifold theory, method of dynamical system and Melnikov function, the existence of solitary wave solutions of perturbed KP-BBM equation is proved. In other words, we dissuss the equation under different nonlinear terms. Finally, we validate our results with numerical simulations.
Keywords
Cite
@article{arxiv.2404.01005,
title = {Solitary wave solutions of the delayed KP-BBM equation},
author = {Yonghui Xia and Haojie Zhang and Hang Zheng},
journal= {arXiv preprint arXiv:2404.01005},
year = {2024}
}
Comments
We declare that the authors are ranked in alphabetic order of their names and all of them have the same contributions to this paper