A semi-discrete integrable multi-component coherently coupled nonlinear Schrodinger system

被引：14

作者：

Zhao, Hai-qiong ^{[1
,2
]}

Yuan, Jinyun ^{[2
]}

机构：

[1] Shanghai Univ Int Business & Econ, Dept Appl Math, 1900 Wenxiang Rd, Shanghai 201620, Peoples R China

[2] Univ Fed Parana, Dept Matemat, Ctr Politecn, BR-81531980 Curitiba, Parana, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2016年 / 49卷 / 27期

基金：

中国国家自然科学基金;

关键词：

semi-discrete integrable multi-component coherently coupled nonlinear Schrodinger system; Darboux transformation; continuous limit theory; CONTINUOUS LIMITS; TODA HIERARCHY; EQUATIONS; DISCRETIZATION; SOLITONS;

D O I：

10.1088/1751-8113/49/27/275204

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new integrable semi-discrete version is proposed for the multi-component coherently coupled nonlinear Schrodinger equation. The integrability of the semi-discrete system is confirmed by existence of Lax pair and infinite number of conservation laws. With the aid of gauge transformations, explicit formulas for N-fold Darboux transformations are derived whereby some physically important solutions of the system are presented. Furthermore, the theory of the semi-discrete system including Lax pair, Darboux transformations, exact solutions and infinite number of conservation laws are shown for their continuous counterparts in the continuous limit.

引用

页数：17

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