Twocomponent vector breather solution of the modified BBM equation
Abstract
This is a continuation of Ref.[1](arXiv:nlin.PS/2001.07758v1). In the present paper, we consider the solution to the modified BenjaminBonaMahony equation $u_{ t} + C u_{z} + \beta u_{zzt} + a u^{2} u_{z}=0$ using the generalized perturbation reduction method. The equation is transformed to the coupled nonlinear Schrödinger equations for auxiliary functions. Explicit analytical expression for the shape and parameters of the twocomponent vector breather oscillating with the sum and difference of frequencies and wavenumbers are obtained.
 Publication:

arXiv eprints
 Pub Date:
 May 2020
 arXiv:
 arXiv:2005.10569
 Bibcode:
 2020arXiv200510569A
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Condensed Matter  Mesoscale and Nanoscale Physics