Two-component vector breather solution of the modified BBM equation
Exactly Solvable and Integrable Systems
2020-05-22 v1 Mesoscale and Nanoscale Physics
Abstract
This is a continuation of Ref.[1](arXiv:nlin.PS/2001.07758v1). In the present paper, we consider the solution to the modified Benjamin-Bona-Mahony equation using the generalized perturbation reduction method. The equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. Explicit analytical expression for the shape and parameters of the two-component vector breather oscillating with the sum and difference of frequencies and wavenumbers are obtained.
Keywords
Cite
@article{arxiv.2005.10569,
title = {Two-component vector breather solution of the modified BBM equation},
author = {G. T. Adamashvili},
journal= {arXiv preprint arXiv:2005.10569},
year = {2020}
}