The periodic wave solutions for a (2+1)- dimensional AKNS equation

被引：13
|
作者：
Cheng, Zhi-long [1 ]
Hao, Xiao-hong [1 ]
机构：
[1] Anhui Polytech Univ, Coll Mech & Elect Engn, Primary Teaching Dept, Wuhu 241000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷
基金：
中国国家自然科学基金;
关键词：
(2+1)-dimensional AKNS equation; Riemann theta function; Soliton solutions; Periodic wave solutions; SOLITON-SOLUTIONS;
D O I：
10.1016/j.amc.2014.01.082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a (2 + 1)-dimensional AKNS equation is considered. Bilinear Backlund transformation is presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function, then the one and two periodic wave solutions are presented, and it is also shown that the soliton solutions can be reduced from the periodic wave solutions. (C) 2014 Elsevier Inc. All rights reserved.
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页码：118 / 126
页数：9
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