Generalized double Casoratian solutions to the four-potential isospectral Ablowitz-Ladik equation

被引：5
|
作者：
Chen, Shouting [1 ]
Zhang, Jianbing [2 ]
Chen, Dengyuan [3 ]
机构：
[1] Xuzhou Inst Technol, Sch Math & Phys Sci, Xuzhou 221008, Jiangsu, Peoples R China
[2] Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 11期
基金：
中国国家自然科学基金;
关键词：
The four-potential isospectral Ablowitz-Ladik equation; Wronskian technique; Double Casoratian form; DIFFERENTIAL-DIFFERENCE EQUATIONS; DOUBLE WRONSKIAN SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; RATIONAL SOLUTIONS; SOLITON-SOLUTIONS; BACKLUND TRANSFORMATION; SCHRODINGER-EQUATION; KORTEWEG-DEVRIES; FORM; AKNS;
D O I：
10.1016/j.cnsns.2013.04.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Generalized solutions in double Casoratian form of the four-potential isospectral Ablowitz-Ladik equation possessing bilinear form are derived through a matrix method for constructing double Casoratian entries. A novel class of explicit solutions, such as soliton, rational-like, Matveev, Complexiton and interaction solutions, are obtained by letting the general matrix be some special cases. Interestingly, a periodic solution is deduced from the Complexiton solution. (C) 2013 Elsevier B. V. All rights reserved.
引用
收藏
页码：2949 / 2959
页数：11
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