Two-component breather solution of the nonlinear Klein-Gordon equation
Pattern Formation and Solitons
2021-07-27 v1
Abstract
The generalized perturbative reduction method is used to find the two-component vector breather solution of the nonlinear Klein-Gordon equation. It is shown that the nonlinear pulse oscillates with the sum and difference of frequencies and wave numbers in the region of the carrier wave frequency and wave number. Explicit analytical expressions for the profile and parameters of the nonlinear pulse are obtained. In the particular case, the vector breather coincides with the vector pulse of self-induced transparency.
Cite
@article{arxiv.2107.12154,
title = {Two-component breather solution of the nonlinear Klein-Gordon equation},
author = {G. T. Adamashvili},
journal= {arXiv preprint arXiv:2107.12154},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.05940