CAUCHY MATRIX TYPE SOLUTIONS FOR THE NONLOCAL NONLINEAR SCHRODINGER EQUATION

被引：23

作者：

Feng, Wei ^{[1
]}

Zhao, Song-Lin ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 84卷 / 01期

基金：

中国国家自然科学基金;

关键词：

local and nonlocal nonlinear Schrodinger equation; AKNS equation; reductions; Cauchy matrix type solutions; INTEGRABLE EQUATIONS; SYLVESTER EQUATION;

D O I：

10.1016/S0034-4877(19)30070-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study some Cauchy matrix type solutions for the nonlocal nonlinear Schrodinger equations, including Cauchy matrix type multisoliton solutions and Cauchy matrix type Jordan block solutions. These solutions are obtained from the Cauchy matrix type solutions of Ablowitz-Kaup-Newell-Segur equation through nonlocal reduction. The reduction procedure developed in this paper can apply to other systems which have Cauchy matrix type solutions and admit local and nonlocal reductions.

引用

页码：75 / 83

页数：9

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