Exact Solutions of Ablowitz-Ladik Hierarchy with Self-Consistent Sources Revisited and Reductions

被引：1

作者：

Li Qi ^{[1
]}

Duan Qiu-Yuan ^{[2
]}

Chen Deng-Yuan ^{[3
]}

Zhang Jian-Bing ^{[4
]}

机构：

[1] E China Inst Technol, Dept Math, Nanchang 330013, Peoples R China

[2] Fuzhou Vocat Coll Technol, Dept Math, Fuzhou 344000, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[4] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2014年 / 62卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Ablowitz-Ladik hierarchy with self-consistent sources; discrete nonlinear Schrodinger hierarchy with self-consistent sources; discrete mKdV hierarchy with self-consistent sources; inverse scattering transform; multi-soliton solution; N-SOLITON SOLUTIONS; KP EQUATION; DARBOUX TRANSFORMATIONS; KDV HIERARCHY; INTEGRATION; SYMMETRIES;

D O I：

10.1088/0253-6102/62/1/02

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the paper, Ablowitz-Ladik hierarchy with new self-consistent sources is investigated. First the source in the hierarchy is described as phi(n)phi(n+1), where phi(n) is related to the Ablowitz-Ladik spectral problem, instead of the corresponding adjoint spectral problem. Then by means of the inverse scattering transform, the multi-soliton solutions for the hierarchy are obtained. Two reductions to the discrete mKdV and nonlinear Schrodinger hierarchies with self-consistent sources are considered by using the uniqueness of the Jost functions, as well as their N-soliton solutions.

引用

页码：5 / 12

页数：8

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