Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method

被引：0
|
作者：
Ting, Su [1 ]
Dai, Hui-hui [2 ]
Ding, Guo-hua [1 ]
机构：
[1] Henan Inst Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China
[2] Univ Hong Kong, Dept Math, 83 Tat Chee Ave, Kowloon, Hong Kong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
Riemann theta functions; periodic wave solutions; a direct method; NONLINEAR EVOLUTION-EQUATIONS; GEOMETRIZATION; N=1;
D O I：
10.1186/s13662-015-0726-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Hirota bilinear method is proposed to directly construct periodic wave solutions in terms of Riemann theta functions for (2 + 1)-dimensional Toda lattice equations. The asymptotic properties of the periodic waves are analyzed in detail, including one-periodic and two-periodic solutions. Furthermore, the curves of the solutions are plotted to analyze the solutions. It is shown that well-known soliton solutions can be reduced from the periodic wave solutions.
引用
收藏
页码：1 / 14
页数：14
相关论文
共 50 条
12345