具非零边界条件的多分量 Fokas-Lenells 方程的多孤子公式
可精确求解与可积系统
2019-12-17 v1
摘要
考虑了多分量 Fokas-Lenells 方程。具体地，我们给出了该系统在平面波边界条件以及零与平面波混合边界条件下的多孤子公式。采用直接方法构造解，表明对于两种边界条件，多孤子解均具有紧致的行列式表达式。
引用
@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}
}
备注
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