Bilinear Backlund transformation, Lax pair and multi-soliton solution for a vector Ramani equation

被引：8

作者：

Chen, Junchao ^{[1
,2
]}

Feng, Bao-Feng ^{[3
]}

Chen, Yong ^{[2
]}

机构：

[1] Lishui Univ, Dept Math, Lishui 323000, Peoples R China

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

[3] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA

来源：

MODERN PHYSICS LETTERS B | 2017年 / 31卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Vector Ramani equation; bilinear Backlund transformation; Lax pair; multi-soliton solution; pfaffian; SOLITON-SOLUTIONS; INTEGRABLE COUPLINGS; KDV EQUATION; ITO EQUATION;

D O I：

10.1142/S0217984917501330

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear Backlund transformation and the corresponding Lax pair for the vector Ramani equation are derived. Besides, multi-soliton solution expressed by pfaffian is given and proved by pfaffian techniques.

引用

页数：16

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