Travelling wave solutions of BBM-like equations by means of factorization

TL;DR

This paper applies the factorization method to BBM-like equations to derive travelling wave solutions, especially for cases where parameters differ, expressing solutions via Weierstrass functions.

Contribution

It introduces a novel application of factorization to BBM-like equations and derives explicit solutions in terms of special functions for specific parameter cases.

Findings

Derived travelling wave solutions using factorization.

Expressed solutions in terms of Weierstrass functions.

Focused on cases with unequal parameters m and n.

Abstract

In this work, we apply the factorization technique to the Benjamin-Bona-Mahony like equations, B(m,n), in order to get travelling wave solutions. We will focus on some special cases for which m is not equal to n, and we will obtain these solutions in terms of Weierstrass functions.