On the Riemann-Hilbert problem of the Kundu equation
作者：
Highlights：
• The results of this paper include s Riemann Hilbert problem of the derivative nonlinear Schrödinger equation (Kaup Newell equation), Chen Lee Liu equation and Gerjikov Ivanov equation on the half line.
• Show that the solution of Kundu equation can be represented in terms of the solution of a matrix Riemann Hilbert problem.
• The spectral functions are not independent, but related by a compatibility condition, the so called global relation.
摘要
•The results of this paper include s Riemann Hilbert problem of the derivative nonlinear Schrödinger equation (Kaup Newell equation), Chen Lee Liu equation and Gerjikov Ivanov equation on the half line.•Show that the solution of Kundu equation can be represented in terms of the solution of a matrix Riemann Hilbert problem.•The spectral functions are not independent, but related by a compatibility condition, the so called global relation.
论文关键词：Kundu equation,Initial-boundary value problem,Spectral functions,Riemann-Hilbert problem,Fokas method
论文评审过程：Received 6 September 2019, Accepted 29 March 2020, Available online 29 April 2020, Version of Record 29 April 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125262
