A Bilinear Bäckhand transformation and Lax pair for a (1+1)-dimensional differential-difference sine-Gordon equation

Xian Min Qian; Hon Wah Tam

doi:10.1088/0253-6102/48/3/022

A Bilinear Bäckhand transformation and Lax pair for a (1+1)-dimensional differential-difference sine-Gordon equation

Xian Min Qian^*
, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

Abstract

In this paper, we obtain a 1+1 dimensional integrable differential- difference model for the sine-Gordon equation by Hirota's discretization method. A bilinear Bäcklund transformation and the associated Lax pair are also proposed for this model.

Original language	English
Pages (from-to)	487-490
Number of pages	4
Journal	Communications in Theoretical Physics
Volume	48
Issue number	3
DOIs	https://doi.org/10.1088/0253-6102/48/3/022
Publication status	Published - 15 Sept 2007

User-Defined Keywords

Bäcklund transformation
Hirota's discretization method
Lax pair
Sine-Gordon equation

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10.1088/0253-6102/48/3/022

Cite this

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title = "A Bilinear B{\"a}ckhand transformation and Lax pair for a (1+1)-dimensional differential-difference sine-Gordon equation",

abstract = "In this paper, we obtain a 1+1 dimensional integrable differential- difference model for the sine-Gordon equation by Hirota's discretization method. A bilinear B{\"a}cklund transformation and the associated Lax pair are also proposed for this model.",

keywords = "B{\"a}cklund transformation, Hirota's discretization method, Lax pair, Sine-Gordon equation",

author = "Qian, \{Xian Min\} and Tam, \{Hon Wah\}",

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T1 - A Bilinear Bäckhand transformation and Lax pair for a (1+1)-dimensional differential-difference sine-Gordon equation

AU - Qian, Xian Min

AU - Tam, Hon Wah

PY - 2007/9/15

Y1 - 2007/9/15

N2 - In this paper, we obtain a 1+1 dimensional integrable differential- difference model for the sine-Gordon equation by Hirota's discretization method. A bilinear Bäcklund transformation and the associated Lax pair are also proposed for this model.

AB - In this paper, we obtain a 1+1 dimensional integrable differential- difference model for the sine-Gordon equation by Hirota's discretization method. A bilinear Bäcklund transformation and the associated Lax pair are also proposed for this model.

KW - Bäcklund transformation

KW - Hirota's discretization method

KW - Lax pair

KW - Sine-Gordon equation

UR - https://www.scopus.com/pages/publications/34748880750

U2 - 10.1088/0253-6102/48/3/022

DO - 10.1088/0253-6102/48/3/022

M3 - Journal article

AN - SCOPUS:34748880750

SN - 0253-6102

VL - 48

SP - 487

EP - 490

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 3

ER -

A Bilinear Bäckhand transformation and Lax pair for a (1+1)-dimensional differential-difference sine-Gordon equation

Abstract

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