Two-component nonlinear wave of the Hirota equation
Mesoscale and Nanoscale Physics
2021-02-10 v1 Exactly Solvable and Integrable Systems
Abstract
Using the generalized perturbation reduction method the Hirota equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. A solution in the form of a two-component vector nonlinear pulse is obtained. The components of the pulse oscillate with the sum and difference of the frequencies and the wave numbers. Explicit analytical expressions for the shape and parameters of the two-component nonlinear pulse are presented.
Cite
@article{arxiv.2102.04774,
title = {Two-component nonlinear wave of the Hirota equation},
author = {G. T. Adamashvili},
journal= {arXiv preprint arXiv:2102.04774},
year = {2021}
}