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

^*Corresponding author for this work

School of Mathematical Sciences

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

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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.

Original language	English
Article number	1750133
Journal	Modern Physics Letters B
Volume	31
Issue number	12
DOIs	https://doi.org/10.1142/S0217984917501330
State	Published - 30 Apr 2017

Keywords

Lax pair
Vector Ramani equation
bilinear Bäcklund transformation
multi-soliton solution
pfaffian

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10.1142/S0217984917501330

Cite this

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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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Keywords

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