Doubly periodic wave solutions and soliton solutions of Ablowitz-Ladik lattice system

被引：7
|
作者：
Huang, Wenhua [1 ,2 ]
Liu, Yulu [2 ]
机构：
[1] Huzhou Univ, Coll Sci, Huzhou 313000, Peoples R China
[2] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2008年 / 47卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Ablowitz-Ladik system; Jacobi elliptic function; soliton;
D O I：
10.1007/s10773-007-9455-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The general Jacobi elliptic function expansion method is developed and extended to construct doubly periodic wave solutions for discrete nonlinear equations. Applying this method, many exact elliptic function doubly periodic wave solutions are obtained for Ablowitz-Ladik lattice system. When the modulus m -> 1 or m -> 0, these solutions degenerate into hyperbolic function solutions and trigonometric function solutions respectively. In long wave limit, solitonic solutions including bright soliton and dark soliton solutions are also obtained.
引用
收藏
页码：338 / 349
页数：12
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