Pseudopotentials, Lax pairs and Bäcklund transformations for generalized fifth-order KdV equation

Yun Qing Yang; Yong Chen

doi:10.1088/0253-6102/55/1/05

Pseudopotentials, Lax pairs and Bäcklund transformations for generalized fifth-order KdV equation

Yun Qing Yang^*
, Yong Chen

^*此作品的通讯作者

数学科学学院

East China Normal University
Ningbo University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the Bäcklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.

源语言	英语
页（从-至）	25-28
页数	4
期刊	Communications in Theoretical Physics
卷	55
期	1
DOI	https://doi.org/10.1088/0253-6102/55/1/05
出版状态	已出版 - 1月 2011

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abstract = "Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the B{\"a}cklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.",

keywords = "B{\"a}cklund transformation, Generalized fifth-order KdV equation, Lax pair, Pseudopotential",

author = "Yang, \{Yun Qing\} and Yong Chen",

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AU - Yang, Yun Qing

AU - Chen, Yong

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N2 - Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the Bäcklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.

AB - Based on the method developed by Nucci, the pseudopotentials, Lax pairs and the singularity manifold equations of the generalized fifth-order KdV equation are derived. By choosing different coefficient, the corresponding results and the Bäcklund transformations can be obtained on three conditioners which include Caudrey-Dodd-Gibbon-Sawada-Kotera equation, the Lax equation and the Kaup-kupershmidt equation.

KW - Bäcklund transformation

KW - Generalized fifth-order KdV equation

KW - Lax pair

KW - Pseudopotential

UR - https://www.scopus.com/pages/publications/79551604855

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JO - Communications in Theoretical Physics

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Pseudopotentials, Lax pairs and Bäcklund transformations for generalized fifth-order KdV equation

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