Generalized Cauchy matrix approach for lattice Boussinesq-type equations

被引：11
|
作者：
Zhao, Songlin [1 ]
Zhang, Dajun [1 ]
Shi, Ying [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2012年 / 33卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lattice Boussinesq-type equations; Generalized Cauchy matrix approach; Exact solutions; PARTIAL DIFFERENCE-EQUATIONS;
D O I：
10.1007/s11401-012-0699-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The authors generalize the Cauchy matrix approach to get exact solutions to the lattice Boussinesq-type equations: lattice Boussinesq equation, lattice modified Boussinesq equation and lattice Schwarzian Boussinesq equation. Some kinds of solutions including soliton solutions, Jordan block solutions and mixed solutions are obtained.
引用
收藏
页码：259 / 270
页数：12
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