Dispersive soliton solutions for shallow water wave system and modified Benjamin-Bona-Mahony equations via applications of mathematical methods

We have utilized three novel methods, called generalized direct algebraic, modified F-expansion and improved simple equation methods to construct traveling wave solutions of the system of shallow water wave equations and modified Benjamin-Bona-Mahony equation. After substituting particular values of the parameters, different solitary wave solutions are derived from the exact traveling wave solutions. It is shown that these employed methods are more powerful tools for nonlinear wave equations. (c) 2021 Published by Elsevier B.V. on behalf of Shanghai Jiaotong University. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

Automated summary

The authors employed three novel methods to construct traveling wave solutions of the system of shallow water wave equations and modified Benjamin-Bona-Mahony equation, showing that these methods are more powerful tools for nonlinear wave equations.