Multisoliton formulas for the multi-component Fokas-Lenells equation with nonzero boundary conditions
Exactly Solvable and Integrable Systems
2019-12-17 v1
Abstract
The multi-component Fokas-Lenells equation is considered. In particular, we present the multisoliton formulas for the system with plane-wave boundary conditions, as well as with mixed zero and plane-wave boundary conditions. A direct approach is employed to construct solutions, showing that for both boundary conditions, the multisoliton solutions have compact determinantal expressions.
Keywords
Cite
@article{arxiv.1912.06755,
title = {Multisoliton formulas for the multi-component Fokas-Lenells equation with nonzero boundary conditions},
author = {Yoshimasa Matsuno},
journal= {arXiv preprint arXiv:1912.06755},
year = {2019}
}
Comments
Proceedings of RIMS conference, "Mathematical Aspects of nonlinear waves and their applications, October 17-19, 2018, edited by Harumichi Kyotoh, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan