The Riemann—Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line

被引：0

作者：

Boling Guo

Nan Liu

机构：

[1] Institute of Applied Physics and Computational Mathematics,

来源：

Journal of Nonlinear Mathematical Physics | 2019年 / 26卷

关键词：

Coupled nonlinear Schrödinger equation; Riemann—Hilbert problem; Initial-boundary value problem; Long-time asymptotics; 35K20; 37K40; 35Q15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive the long-time asymptotics for the solution of initial-boundary value problem of coupled nonlinear Schrödinger equation whose Lax pair involves 3 × 3 matrix in present paper. Based on a nonlinear steepest descent analysis of an associated 3 × 3 matrix Riemann—Hilbert problem, we can give the precise asymptotic formulas for the solution of the coupled nonlinear Schrödinger equation on the half-line.

引用

页码：483 / 508

页数：25