Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation
P. G. Estevez, S. Kuru, J. Negro, L. M. Nieto
TL;DR
This paper systematically derives travelling wave solutions for the generalized Benjamin-Bona-Mahony equation using factorization, and also recovers solutions for its standard and modified forms, contributing to the understanding of nonlinear wave equations.
Contribution
It introduces a systematic factorization method to find travelling wave solutions for the generalized Benjamin-Bona-Mahony equation and its variants.
Findings
Derived explicit travelling wave solutions for the generalized Benjamin-Bona-Mahony equation.
Recovered solutions for the standard and modified Benjamin-Bona-Mahony equations.
Demonstrated the effectiveness of the factorization technique in nonlinear wave analysis.
Abstract
A class of particular travelling wave solutions of the generalized Benjamin-Bona-Mahony equation is studied systematically using the factorization technique. Then, the general travelling wave solutions of Benjamin-Bona-Mahony equation, and of its modified version, are also recovered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems