Integrability of a coupled KdV system: Painleve property, Lax pair and Backlund transformation

被引：31

作者：

Wang, Deng-Shan ^{[1
,2
]}

机构：

[1] Cent Univ Finance & Econ, CEMA, Beijing 100081, Peoples R China

[2] Cent Univ Finance & Econ, CIAS, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 04期

关键词：

Prolongation structure; Linear spectral problem; Singularity analysis; Backlund transformation; Coupled KdV system; PROLONGATION STRUCTURES; FIELD-EQUATIONS; ALGEBRAS;

D O I：

10.1016/j.amc.2010.02.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The integrability of a coupled KdV system is studied by prolongation technique and singularity analysis. As a result, Backlund transformation and linear spectral problem associated with this system are obtained. Some special solutions of the system are also proposed. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1349 / 1354

页数：6

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