Two integrable differential-difference equations derived from the discrete BKP equation and their related equations

Claire R. Gilson; Xing Biao Hu; Wen Xiu Ma; Hon Wah TAM

doi:10.1016/S0167-2789(02)00736-4

Two integrable differential-difference equations derived from the discrete BKP equation and their related equations

Claire R. Gilson, Xing Biao Hu^*, Wen Xiu Ma, Hon Wah TAM

^*Corresponding author for this work

Department of Computer Science

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

15 Citations (Scopus)

Abstract

In this paper, two integrable differential-difference equations derived from the discrete BKP equation and their related equations are studied. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of these equations are generated and the corresponding Lax pairs are obtained.

Original language	English
Pages (from-to)	177-184
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	175
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(02)00736-4
Publication status	Published - 1 Feb 2003

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

User-Defined Keywords

Bäcklund transformations
BKP equation
Differential-difference equation

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10.1016/S0167-2789(02)00736-4

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title = "Two integrable differential-difference equations derived from the discrete BKP equation and their related equations",

abstract = "In this paper, two integrable differential-difference equations derived from the discrete BKP equation and their related equations are studied. The corresponding bilinear B{\"a}cklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of these equations are generated and the corresponding Lax pairs are obtained.",

keywords = "B{\"a}cklund transformations, BKP equation, Differential-difference equation",

author = "Gilson, {Claire R.} and Hu, {Xing Biao} and Ma, {Wen Xiu} and TAM, {Hon Wah}",

note = "Funding Information: This work was supported by ICTP visiting scholar grant VS-328, the Research Grant Council of Hong Kong (CERG 9040466), the City University of Hong Kong (SRG 7001178), Hong Kong RGC grant HKBU2065/01P, the National Natural Science Foundation of China (grant no. 10171100) and the knowledge innovation program of the Chinese Academy of Sciences. ",

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AU - Gilson, Claire R.

AU - Hu, Xing Biao

AU - Ma, Wen Xiu

AU - TAM, Hon Wah

N1 - Funding Information: This work was supported by ICTP visiting scholar grant VS-328, the Research Grant Council of Hong Kong (CERG 9040466), the City University of Hong Kong (SRG 7001178), Hong Kong RGC grant HKBU2065/01P, the National Natural Science Foundation of China (grant no. 10171100) and the knowledge innovation program of the Chinese Academy of Sciences.

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N2 - In this paper, two integrable differential-difference equations derived from the discrete BKP equation and their related equations are studied. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of these equations are generated and the corresponding Lax pairs are obtained.

AB - In this paper, two integrable differential-difference equations derived from the discrete BKP equation and their related equations are studied. The corresponding bilinear Bäcklund transformations (BTs) are presented. Starting from the bilinear BTs, soliton solutions of these equations are generated and the corresponding Lax pairs are obtained.

KW - Bäcklund transformations

KW - BKP equation

KW - Differential-difference equation

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Two integrable differential-difference equations derived from the discrete BKP equation and their related equations

Abstract

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