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

Scopus Subject Areas

Physics and Astronomy (miscellaneous)

User-Defined Keywords

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

Access to Document

10.1088/0253-6102/48/3/022

Cite this

@article{a4be298bd31449c58f271c99ed10e869,

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}",

year = "2007",

month = sep,

day = "15",

doi = "10.1088/0253-6102/48/3/022",

language = "English",

volume = "48",

pages = "487--490",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

number = "3",

}

TY - JOUR

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 - http://www.scopus.com/inward/record.url?scp=34748880750&partnerID=8YFLogxK

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

Scopus Subject Areas

User-Defined Keywords

Access to Document

Other files and links

Cite this