Integrability and Exact Solutions for a (2+1)-dimensional Variable-Coefficient KdV Equation

被引：0

作者：

Zhang Yu ^{[1
]}

Xu Gui-Qiong ^{[2
]}

机构：

[1] Shanghai Univ, Coll Sci, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Coll Management, Dept Informat Management, Shanghai 200444, Peoples R China

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2014年 / 9卷 / 02期

关键词：

(2+1)-dimensional variable-coefficient KdV equation; Painleve property; Hirota's bilinear form; soliton solution; symbolic computation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the WTC method and symbolic computation, we apply the Painleve test for a (2+1)dimensional variable-coefficient Kortweg-de Vries (KdV) equation, and the considered equation is found to possess the Painleve property without any parametric constraints. The auto-Backlund transformation and several types of exact solutions are obtained by using the Painleve truncated expansion method. Finally, the Hirota's bilinear form is presented and multi-soliton solutions are also constructed.

引用

页码：646 / 658

页数：13

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