Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
Mathematical Physics
2023-07-26 v4 math.MP
Abstract
The paper deals with a problem of asymptotic soliton like solutions to the Benjamin-Bona-Mahony (BBM) equaion with a small parameter at the highest derivative and variable coefficients depending on the variables , as well as a small parameter. There is proposed an algorithm of constructing the solutions and there are proved theorems on accuracy with which the solutions satisfy the BBM equation.
Keywords
Cite
@article{arxiv.1703.01265,
title = {Asymptotic soliton like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients},
author = {Valerii Samoilenko and Yuliia Samoilenko},
journal= {arXiv preprint arXiv:1703.01265},
year = {2023}
}
Comments
19 pages, 44 references