Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type

Hon-Wah Tam; Xing-Biao Hu

doi:10.1016/S0375-9601(00)00422-9

Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type

Hon-Wah Tam^*, Xing-Biao Hu

^*Corresponding author for this work

Department of Computer Science

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

15 Citations (Scopus)

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Abstract

Two new integrable differential-difference equations are proposed. By using Hirota's method, 3-soliton solutions of the Kaup-Kupershmidt equation type are obtained with the assistance of Mathematica. Besides, Lax pairs of these two lattices are also presented. (C) 2000 Published by Elsevier Science B.V.

Original language	English
Pages (from-to)	174-183
Number of pages	10
Journal	Physics Letters A
Volume	272
Issue number	3
DOIs	https://doi.org/10.1016/S0375-9601(00)00422-9
Publication status	Published - 24 Jul 2000

Scopus Subject Areas

General Physics and Astronomy

User-Defined Keywords

Integrable lattices
Lax pairs
Soliton solutions

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10.1016/S0375-9601(00)00422-9

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title = "Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type",

abstract = "Two new integrable differential-difference equations are proposed. By using Hirota's method, 3-soliton solutions of the Kaup-Kupershmidt equation type are obtained with the assistance of Mathematica. Besides, Lax pairs of these two lattices are also presented. (C) 2000 Published by Elsevier Science B.V.",

keywords = "Integrable lattices, Lax pairs, Soliton solutions",

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

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. ",

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T1 - Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type

AU - Tam, Hon-Wah

AU - Hu, Xing-Biao

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.

PY - 2000/7/24

Y1 - 2000/7/24

N2 - Two new integrable differential-difference equations are proposed. By using Hirota's method, 3-soliton solutions of the Kaup-Kupershmidt equation type are obtained with the assistance of Mathematica. Besides, Lax pairs of these two lattices are also presented. (C) 2000 Published by Elsevier Science B.V.

AB - Two new integrable differential-difference equations are proposed. By using Hirota's method, 3-soliton solutions of the Kaup-Kupershmidt equation type are obtained with the assistance of Mathematica. Besides, Lax pairs of these two lattices are also presented. (C) 2000 Published by Elsevier Science B.V.

KW - Integrable lattices

KW - Lax pairs

KW - Soliton solutions

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U2 - 10.1016/S0375-9601(00)00422-9

DO - 10.1016/S0375-9601(00)00422-9

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JF - Physics Letters A

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ER -

Two integrable differential-difference equations exhibiting soliton solutions of the Kaup-Kupershmidt equation type

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