Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Wen Xiu Ma; Xing Biao Hu; Si Ming Zhu; Yong Tang Wu

doi:10.1063/1.533071

Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Wen Xiu Ma, Xing Biao Hu^*, Si Ming Zhu, Yong Tang Wu

^*Corresponding author for this work

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

22 Citations (Scopus)

Abstract

A four-field lattice furnished by Blaszak and Marciniak is transformed into bilinear form upon introducing two auxiliary independent variables. A Bäcklund transformation in bilinear form is found for the lattice and the corresponding nonlinear superposition formula is rigorously established. As a consequence, soliton solutions to the lattice are derived.

Original language	English
Pages (from-to)	6071-6086
Number of pages	16
Journal	Journal of Mathematical Physics
Volume	40
Issue number	11
DOIs	https://doi.org/10.1063/1.533071
Publication status	Published - Nov 1999
Externally published	Yes

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "A four-field lattice furnished by Blaszak and Marciniak is transformed into bilinear form upon introducing two auxiliary independent variables. A B{\"a}cklund transformation in bilinear form is found for the lattice and the corresponding nonlinear superposition formula is rigorously established. As a consequence, soliton solutions to the lattice are derived.",

author = "Ma, {Wen Xiu} and Hu, {Xing Biao} and Zhu, {Si Ming} and Wu, {Yong Tang}",

note = "Funding information: This work was supported by the City University of Hong Kong, the Research Grants Council of Hong Kong, the National Natural Science Foundation of China ~Project No. 19871082! and the Chinese Academy of Sciences. Publisher copyright: {\textcopyright} 1999 American Institute of Physics",

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AU - Hu, Xing Biao

AU - Zhu, Si Ming

AU - Wu, Yong Tang

N1 - Funding information: This work was supported by the City University of Hong Kong, the Research Grants Council of Hong Kong, the National Natural Science Foundation of China ~Project No. 19871082! and the Chinese Academy of Sciences. Publisher copyright: © 1999 American Institute of Physics

PY - 1999/11

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N2 - A four-field lattice furnished by Blaszak and Marciniak is transformed into bilinear form upon introducing two auxiliary independent variables. A Bäcklund transformation in bilinear form is found for the lattice and the corresponding nonlinear superposition formula is rigorously established. As a consequence, soliton solutions to the lattice are derived.

AB - A four-field lattice furnished by Blaszak and Marciniak is transformed into bilinear form upon introducing two auxiliary independent variables. A Bäcklund transformation in bilinear form is found for the lattice and the corresponding nonlinear superposition formula is rigorously established. As a consequence, soliton solutions to the lattice are derived.

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice

Abstract

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