CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative (2+1)-dimensional AKNS equation

被引：18
|
作者：
Wang, Hui [1 ]
Wang, Yun-Hu [1 ,2 ]
机构：
[1] Shanghai Maritime Univ, Coll Art & Sci, Shanghai 201306, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 69卷
基金：
中国国家自然科学基金;
关键词：
Consistent Riccati expansion; Nonlocal symmetry; Soliton-cnoidal solution; NONLOCAL SYMMETRY; 2+1 DIMENSIONS; REDUCTIONS; SYSTEM;
D O I：
10.1016/j.aml.2017.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the truncated Painleve expansion and consistent Riccati expansion (CRE), we investigate a dissipative (2 + 1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation. Through the truncated Painleve expansion, its nonlocal symmetry and Backlund transformation (BT) are presented. Then the nonlocal symmetry is localized to the corresponding nonlocal group by an enlarged system. Based on the CRE method proposed by Lou (2013), the AKNS equation is proved CRE solvable, and the soliton-cnoidal wave interaction solutions are explicitly given. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：161 / 167
页数：7
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