Multi-breather solutions to the Sasa-Satsuma equation
Abstract
General breather solution to the Sasa-Satsuma (SS) equation is systematically investigated in this paper. We firstly transform the SS equation into a set of three Hirota bilinear equations under proper plane wave background. Starting from a specially arranged tau-function of the Kadomtsev-Petviashvili hierarchy and a set of eleven bilinear equations satisfied, we implement a series steps of reduction procedure, i.e., C-type reduction, dimension reduction and complex conjugate reduction, and reduce these eleven equations to three bilinear equations for the SS equation. Meanwhile, general breather solution to the SS equation is found in determinant of even order. The one- and two-breather solutions are calculated and analyzed in details.
Keywords
Cite
@article{arxiv.2111.03266,
title = {Multi-breather solutions to the Sasa-Satsuma equation},
author = {Chengfa Wu and Bo Wei and Changyan Shi and Bao-Feng Feng},
journal= {arXiv preprint arXiv:2111.03266},
year = {2022}
}
Comments
28 pages, 8 figures