Application of bilinear method to integrable differential-difference equations

Xing-Biao Hu; Hon-Wah Tam

doi:10.1017/S0017089501000052

Application of bilinear method to integrable differential-difference equations

Xing-Biao Hu^*, Hon-Wah Tam

^*Corresponding author for this work

Department of Computer Science

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

11 Citations (Scopus)

Abstract

Two coupled bilinear equations are considered, and then two new coupled differential-difference systems are found. Also two special reductions of these two systems are studied. By using Hirota's method, Bäcklund transformation and superposition formulae, soliton solutions to these equations are presented.

Original language	English
Pages (from-to)	43-51
Number of pages	9
Journal	Glasgow Mathematical Journal
Volume	43
Issue number	A
DOIs	https://doi.org/10.1017/S0017089501000052
Publication status	Published - Jun 2001

Scopus Subject Areas

Mathematics(all)

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10.1017/S0017089501000052

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title = "Application of bilinear method to integrable differential-difference equations",

abstract = "Two coupled bilinear equations are considered, and then two new coupled differential-difference systems are found. Also two special reductions of these two systems are studied. By using Hirota's method, B{\"a}cklund transformation and superposition formulae, soliton solutions to these equations are presented.",

author = "Xing-Biao Hu and Hon-Wah Tam",

year = "2001",

month = jun,

doi = "10.1017/S0017089501000052",

language = "English",

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T1 - Application of bilinear method to integrable differential-difference equations

AU - Hu, Xing-Biao

AU - Tam, Hon-Wah

PY - 2001/6

Y1 - 2001/6

N2 - Two coupled bilinear equations are considered, and then two new coupled differential-difference systems are found. Also two special reductions of these two systems are studied. By using Hirota's method, Bäcklund transformation and superposition formulae, soliton solutions to these equations are presented.

AB - Two coupled bilinear equations are considered, and then two new coupled differential-difference systems are found. Also two special reductions of these two systems are studied. By using Hirota's method, Bäcklund transformation and superposition formulae, soliton solutions to these equations are presented.

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U2 - 10.1017/S0017089501000052

DO - 10.1017/S0017089501000052

M3 - Journal article

AN - SCOPUS:33747536612

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VL - 43

SP - 43

EP - 51

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

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ER -

Application of bilinear method to integrable differential-difference equations

Abstract

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