Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system

被引：41

作者：

Hu, Xiaorui ^{[1
]}

Li, Yuqi ^{[2
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 51卷

基金：

中国国家自然科学基金;

关键词：

Nonlocal symmetry; Backlund transformation; Painleve expansion; Exact interaction solutions; PARTIAL-DIFFERENTIAL EQUATIONS; PAINLEVE ANALYSIS;

D O I：

10.1016/j.aml.2015.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The truncated Painleve expansion is developed to construct Backlund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (GTE), which is a special form of CRE, the soliton-cnoidal wave solutions are explicitly studied. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：20 / 26

页数：7

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