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

Junchao Chen; Bao Feng Feng; Yong Chen

doi:10.1142/S0217984917501330

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

Junchao Chen^*
, Bao Feng Feng
, Yong Chen

^*此作品的通讯作者

数学科学学院

Lishui University
East China Normal University
University of Texas Rio Grande Valley

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

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 Bäcklund 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.

源语言	英语
文章编号	1750133
期刊	Modern Physics Letters B
卷	31
期	12
DOI	https://doi.org/10.1142/S0217984917501330
出版状态	已出版 - 30 4月 2017

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title = "Bilinear B{\"a}cklund transformation, Lax pair and multi-soliton solution for a vector Ramani equation",

abstract = "In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear B{\"a}cklund 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.",

keywords = "Lax pair, Vector Ramani equation, bilinear B{\"a}cklund transformation, multi-soliton solution, pfaffian",

author = "Junchao Chen and Feng, \{Bao Feng\} and Yong Chen",

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AU - Chen, Junchao

AU - Feng, Bao Feng

AU - Chen, Yong

PY - 2017/4/30

Y1 - 2017/4/30

N2 - In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear Bäcklund 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.

AB - In this paper, a vector Ramani equation is proposed by using the bilinear approach. With the help of the bilinear exchange formulae, bilinear Bäcklund 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.

KW - Lax pair

KW - Vector Ramani equation

KW - bilinear Bäcklund transformation

KW - multi-soliton solution

KW - pfaffian

UR - https://www.scopus.com/pages/publications/85019057459

U2 - 10.1142/S0217984917501330

DO - 10.1142/S0217984917501330

M3 - 文章

AN - SCOPUS:85019057459

SN - 0217-9849

VL - 31

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 12

M1 - 1750133

ER -

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

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