A vector asymmetrical NNV equation: Soliton solutions, bilinear Backlund transformation and Lax pair

被引：31

作者：

Yu, Guo-Fu ^{[1
]}

Tam, Hon-Wah ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

基金：

中国国家自然科学基金;

关键词：

soliton solution; NNV equation; Pfaffian; Backlund transformation; Lax pair;

D O I：

10.1016/j.jmaa.2008.02.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A vector asymmetrical Nizhnik-Novikov-Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained. Bilinear Backlund transformation and the corresponding Lax pair for the vector ANNV equation are derived. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：593 / 600

页数：8