Solitary wave solutions of several nonlinear PDEs modeling shallow water waves
Exactly Solvable and Integrable Systems
2017-09-18 v1
Abstract
We apply the version of the method of simplest equation called modified method of simplest equation for obtaining exact traveling wave solutions of a class of equations that contain as particular case a nonlinear PDE that models shallow water waves in viscous fluid (Topper-Kawahara equation). As simplest equation we use a version of the Riccati equation. We obtain two exact traveling wave solutions of equations from the studied class of equations and discuss the question of imposing boundary conditions on one of these solutions.
Keywords
Cite
@article{arxiv.1709.05320,
title = {Solitary wave solutions of several nonlinear PDEs modeling shallow water waves},
author = {Nikolay K. Vitanov and Tsvetelina I. Ivanova},
journal= {arXiv preprint arXiv:1709.05320},
year = {2017}
}
Comments
14 pages, no figures