On the Riemann-Hilbert problem for the Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger equation
Mathematical Physics
2021-02-03 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this work, we investigated a combined Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger equation(called CLL-NLS equation by Kundu) on the half-line by unified transformation approach. We gives spectral analysis of the Lax pair for CLL-NLS equation, and establish a matrix Riemann-Hilbert problem, so as to reconstruct the solution of the CLL-NLS equation by solving. Furthermore, the spectral functions are not independent, but enjoy by a compatibility condition, which is the so-called global relation.
Keywords
Cite
@article{arxiv.2004.07608,
title = {On the Riemann-Hilbert problem for the Chen-Lee-Liu derivative nonlinear Schr\"{o}dinger equation},
author = {Beibei Hu and Ling Zhang and Ning Zhang},
journal= {arXiv preprint arXiv:2004.07608},
year = {2021}
}