Some recent results on integrable Bilinear equations

Xing Biao Hu; Hon Wah TAM

doi:10.2991/jnmp.2001.8.s.26

Some recent results on integrable Bilinear equations

Xing Biao Hu^*, Hon Wah TAM

^*Corresponding author for this work

Department of Computer Science

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

6 Citations (Scopus)

Abstract

This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.

Original language	English
Pages (from-to)	149-155
Number of pages	7
Journal	Journal of Nonlinear Mathematical Physics
Volume	8
Issue number	SUPPL.
DOIs	https://doi.org/10.2991/jnmp.2001.8.s.26
Publication status	Published - Feb 2001

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.2991/jnmp.2001.8.s.26

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@article{102d53cd5e83482fbc102725cdd98576,

title = "Some recent results on integrable Bilinear equations",

abstract = "This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the B{\"a}cklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the B{\"a}cklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.",

author = "Hu, {Xing Biao} and TAM, {Hon Wah}",

note = "Funding Information: This work was supported by Hong Kong Baptist University grant FRG/97-98/II-100, the National Natural Science Foundation of China (Project no.19871082) and the Chinese Academy of Sciences. One of authors (XBH) would like to express his sincere thanks to the organizers M Bruschi, F Calogero, O Ragnisco and A Verganelakis for their invitation to attend the workshop NEEDS{\textquoteright}99 and partial financial support.",

year = "2001",

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AU - TAM, Hon Wah

N1 - Funding Information: This work was supported by Hong Kong Baptist University grant FRG/97-98/II-100, the National Natural Science Foundation of China (Project no.19871082) and the Chinese Academy of Sciences. One of authors (XBH) would like to express his sincere thanks to the organizers M Bruschi, F Calogero, O Ragnisco and A Verganelakis for their invitation to attend the workshop NEEDS’99 and partial financial support.

PY - 2001/2

Y1 - 2001/2

N2 - This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.

AB - This paper shows that several integrable lattices can be transformed into coupled bilinear differential-difference equations by introducing auxiliary variables. By testing the Bäcklund transformations for this type of coupled bilinear equations, a new integrable lattice is found. By using the Bäcklund transformation, soliton solutions are obtained. By the dependent variable transformation, this new coupled bilinear equations can be reduced to a coupled extended Lotka-Voltera equation and another equation.

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JO - Journal of Nonlinear Mathematical Physics

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ER -

Some recent results on integrable Bilinear equations

Abstract

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