Bilinear Backlund transformation and Lax pair for a coupled Ramani equation

被引：7

作者：

He, Yi ^{[1
,2
]}

Tam, Hon-Wah ^{[3
]}

机构：

[1] Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, AMSS, Beijing 100190, Peoples R China

[2] Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Soliton; Coupled Ramani equation; Lax pair; Backlund transformation;

D O I：

10.1016/j.jmaa.2009.04.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a coupled Ramani equation is proposed. The bilinear Backlund transformation and Lax pair for this equation are derived starting from its bilinear form. Multisoliton solutions to the system can also be obtained. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：132 / 136

页数：5

共 5 条

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Dye, JM ;

Parker, A .

JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (06) :2567-2589

[3]

Hirota R., 2004, The Direct Method in Soliton Theory

[4] Lax pairs and Backlund transformations for a coupled Ramani equation and its related system [J].

Hu, XB ;

Wang, DL ;

Tam, HW .

APPLIED MATHEMATICS LETTERS, 2000, 13 (06) :45-48

[5] INVERSE SCATTERING, ORDINARY DIFFERENTIAL-EQUATIONS OF PAINLEVE-TYPE, AND HIROTAS BILINEAR FORMALISM [J].

RAMANI, A .

ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1981, 373 (OCT) :54-67

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