A new Lie algebra and soliton solutions, Bächlund transformation of soliton equations

Hon Wah Tam; Yufeng Zhang

doi:10.1016/j.chaos.2009.03.062

A new Lie algebra and soliton solutions, Bächlund transformation of soliton equations

Hon Wah Tam, Yufeng Zhang^*

^*Corresponding author for this work

Department of Computer Science

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

1 Citation (Scopus)

Abstract

A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The Bäcklund transformation among them is also generated.

Original language	English
Pages (from-to)	1670-1676
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/j.chaos.2009.03.062
Publication status	Published - 15 Nov 2009

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10.1016/j.chaos.2009.03.062

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title = "A new Lie algebra and soliton solutions, B{\"a}chlund transformation of soliton equations",

abstract = "A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The B{\"a}cklund transformation among them is also generated.",

author = "Tam, {Hon Wah} and Yufeng Zhang",

note = "Funding Information: This work was supported by Hong Kong RGC Grant No. HKBU 202007. ",

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AU - Zhang, Yufeng

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PY - 2009/11/15

Y1 - 2009/11/15

N2 - A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The Bäcklund transformation among them is also generated.

AB - A new Lie algebra is introduced for which a soliton hierarchy of nonlinear evolution equations is derived from zero curvature equations. A reduced equation from the hierarchy is obtained whose exact solutions are produced. Again using the Lie algebra and the corresponding loop algebra, a type of nonlinear soliton equations with exponential terms in potential functions are given. The Bäcklund transformation among them is also generated.

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JO - Chaos, Solitons and Fractals

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A new Lie algebra and soliton solutions, Bächlund transformation of soliton equations

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