The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

被引：7

作者：

Li, Q. ^{[1
]}

Zhang, J. B. ^{[2
]}

Chen, D. Y. ^{[3
]}

机构：

[1] E China Inst Technol, Dept Math, State Key Lab Breeding Base Nucl Resources & Envi, Nanchang 330013, Peoples R China

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

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

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2015年 / 7卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Discrete mKdV hierarchy with self-consistent sources; eigenfunction; exact solutions; inverse scattering transform; MODIFIED KDV EQUATION; DIFFERENTIAL-DIFFERENCE EQUATIONS; ABLOWITZ-LADIK HIERARCHY; N-SOLITON SOLUTIONS; DARBOUX TRANSFORMATIONS; BKP EQUATIONS; INTEGRATION; WAVES; KP; SYMMETRIES;

D O I：

10.4208/aamm.2013.m450

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Another form of the discrete mKdV hierarchy with self-consistent sources is given in the paper. The self-consistent sources is presented only by the eigenfunctions corresponding to the reduction of the Ablowitz-Ladik spectral problem. The exact soliton solutions are also derived by the inverse scattering transform.

引用

页码：663 / 674

页数：12

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