General soliton solutions to a coupled Fokas-Lenells equation
Exactly Solvable and Integrable Systems
2016-12-01 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
In this paper, we firstly establish the multi-Hamiltonian structure and infinite many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenells equation. By constructing a generalized Darboux transformation and using a limiting process, all kinds of one-soliton solutions are constructed including the bright-dark soliton, the dark-anti-dark soliton and the breather-like solutions. Furthermore, multi-bright and multi-dark soliton solutions are derived and their asymptotic behaviors are investigated.
Keywords
Cite
@article{arxiv.1611.10057,
title = {General soliton solutions to a coupled Fokas-Lenells equation},
author = {Liming Ling and Bao-Feng Feng and Zuonong Zhu},
journal= {arXiv preprint arXiv:1611.10057},
year = {2016}
}
Comments
26 pages, 12 figures