Initial-boundary value problem for the two-component nonlinear Schrodinger equation on the half-line

被引：15

作者：

Xu, Jian ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, 334 Jungong Rd, Shanghai 200093, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2016年 / 23卷 / 02期

基金：

美国国家科学基金会;

关键词：

Riemann-Hilbert problem; Initial-boundary value problem; two-component nonlinear Schrodinger equation; UNIFIED TRANSFORM METHOD; EVOLUTION-EQUATIONS;

D O I：

10.1080/14029251.2016.1161259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a 3x3 Riemann-Hilbert problem formalism for the initial-boundary value problem of the two-component nonlinear Schrodinger (2-NLS) equation on the half-line. And we also get the Dirichlet to Neuemann map through analysising the global relation in this paper.

引用

页码：167 / 189

页数：23

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