Riemann-Hilbert method and N-soliton solutions for the mixed Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger equation
Exactly Solvable and Integrable Systems
2020-04-21 v2 Mathematical Physics
math.MP
Abstract
In this paper, we aim to investigate the mixed Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger(CLL-NLS) equation via the Riemann-Hilbert(RH) method. we construct a RH problem base on the Jost solution of the Lax pair. By solving this RH problem corresponding to the non reflection case, the N-soliton solution of CLL-NLS equation is obtained, which expression is the ratio of determinant and determinant.
Keywords
Cite
@article{arxiv.2004.03193,
title = {Riemann-Hilbert method and N-soliton solutions for the mixed Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger equation},
author = {Fang Fang and Beibei Hu and Ling Zhang},
journal= {arXiv preprint arXiv:2004.03193},
year = {2020}
}