Soliton solutions and bäcklund transformation for the kupershmidt five-field lattice: A bilinear approach

Hon Wah Tam; Xing Biao Hu

doi:10.1016/S0893-9659(02)00074-5

Soliton solutions and bäcklund transformation for the kupershmidt five-field lattice: A bilinear approach

Hon Wah Tam^*
, Xing Biao Hu

^*Corresponding author for this work

Department of Computer Science

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

32 Citations (Scopus)

Abstract

The Kupershmidt five-field lattice is considered in this paper. By a dependent variable transformation, the Kupershmidt lattice is transformed into a bilinear form by the introduction of three auxiliary variables. We present a Backlund transformation and a nonlinear superposition formula for the Kupershmidt lattice. As an application of the results, soliton solutions are derived.

Original language	English
Pages (from-to)	987-993
Number of pages	7
Journal	Applied Mathematics Letters
Volume	15
Issue number	8
DOIs	https://doi.org/10.1016/S0893-9659(02)00074-5
Publication status	Published - Nov 2002

User-Defined Keywords

Backlund transformations
Hirota's method
Integrable lattices
Solitons

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10.1016/S0893-9659(02)00074-5

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@article{20dbbce67b3644fd8ca53c44e9ddec6c,

title = "Soliton solutions and b{\"a}cklund transformation for the kupershmidt five-field lattice: A bilinear approach",

abstract = "The Kupershmidt five-field lattice is considered in this paper. By a dependent variable transformation, the Kupershmidt lattice is transformed into a bilinear form by the introduction of three auxiliary variables. We present a Backlund transformation and a nonlinear superposition formula for the Kupershmidt lattice. As an application of the results, soliton solutions are derived.",

keywords = "Backlund transformations, Hirota's method, Integrable lattices, Solitons",

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

note = "Funding Information: This work was partially supported by Hong Kong Baptist University Grant FRG/99-00/H-66, the National Natural Science Foundation of China, and the Chinese Academy of Sciences. *Part of the work was done during this author{\textquoteright}s stay in the Abdus Salam International Centre for Theoretical Physics and he would like to thank the AS ICTP for the hospitality.",

year = "2002",

month = nov,

doi = "10.1016/S0893-9659(02)00074-5",

language = "English",

volume = "15",

pages = "987--993",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd.",

number = "8",

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TY - JOUR

T1 - Soliton solutions and bäcklund transformation for the kupershmidt five-field lattice

T2 - A bilinear approach

AU - Tam, Hon Wah

AU - Hu, Xing Biao

N1 - Funding Information: This work was partially supported by Hong Kong Baptist University Grant FRG/99-00/H-66, the National Natural Science Foundation of China, and the Chinese Academy of Sciences. *Part of the work was done during this author’s stay in the Abdus Salam International Centre for Theoretical Physics and he would like to thank the AS ICTP for the hospitality.

PY - 2002/11

Y1 - 2002/11

N2 - The Kupershmidt five-field lattice is considered in this paper. By a dependent variable transformation, the Kupershmidt lattice is transformed into a bilinear form by the introduction of three auxiliary variables. We present a Backlund transformation and a nonlinear superposition formula for the Kupershmidt lattice. As an application of the results, soliton solutions are derived.

AB - The Kupershmidt five-field lattice is considered in this paper. By a dependent variable transformation, the Kupershmidt lattice is transformed into a bilinear form by the introduction of three auxiliary variables. We present a Backlund transformation and a nonlinear superposition formula for the Kupershmidt lattice. As an application of the results, soliton solutions are derived.

KW - Backlund transformations

KW - Hirota's method

KW - Integrable lattices

KW - Solitons

UR - https://www.scopus.com/pages/publications/31244438531

U2 - 10.1016/S0893-9659(02)00074-5

DO - 10.1016/S0893-9659(02)00074-5

M3 - Journal article

AN - SCOPUS:31244438531

SN - 0893-9659

VL - 15

SP - 987

EP - 993

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 8

ER -

Soliton solutions and bäcklund transformation for the kupershmidt five-field lattice: A bilinear approach

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