Homoclinic solutions for Davey-Stewartson equation

被引:8
作者
Huang, Jian [1 ]
Dai, Zhengde
机构
[1] Nanjing Univ, Sch Management Sci & Engn, Nanjing 210093, Peoples R China
[2] Yunnan Univ, Sch Math & Phys, Kunming 650091, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.chaos.2006.06.022
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we firstly prove the existence of homoclinic solutions for Davey-Stewartson I equation (DSI) with the periodic boundary condition. Then we obtain a set of exact homoclinic solutions by the novel method-Hirota's method. Moreover, the structure of homoclinic solutions has been investigated. At the same time, we give some numerical simulations which validate these theoretical results. (C) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:996 / 1002
页数:7
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