Breather solutions of the modified Benjamin-Bona-Mahony equation
Pattern Formation and Solitons
2020-01-23 v1 Mesoscale and Nanoscale Physics
Abstract
New two-component vector breather solution of the modified Benjamin-Bona-Mahony (MBBM) equation is considered. Using the generalized perturbation reduction method the MBBM equation is reduced to the coupled nonlinear Schr\"odinger equations for auxiliary functions. Explicit analytical expressions for the profile and parameters of the vector breather oscillating with the sum and difference of the frequencies and wavenumbers are presented. The two-component vector breather and single-component scalar breather of the MBBM equation is compared.
Keywords
Cite
@article{arxiv.2001.07758,
title = {Breather solutions of the modified Benjamin-Bona-Mahony equation},
author = {G. T. Adamashvili},
journal= {arXiv preprint arXiv:2001.07758},
year = {2020}
}