Finite symmetry transformation groups and exact solutions of konopelchenko-dubrovsky equation

Huan Ping Zhang; Biao Li; Yong Chen

doi:10.1088/0253-6102/52/3/19

Finite symmetry transformation groups and exact solutions of konopelchenko-dubrovsky equation

Huan Ping Zhang
, Biao Li
, Yong Chen^*

^*此作品的通讯作者

数学科学学院

Ningbo University
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

Based on the general direct method developed by Lou et al. [J. Phys. A: Math. Gen. 38 (2005) L129], the symmetry group theorem is obtained, from that both the Lie point groups and the non-Lie symmetry groups of the Konopelchenko-Dubrovsky (KD) equation are obtained. From the theorem, some exact solutions of KD equation are derived from a simple travelling wave solution and a multi-soliton solution.

源语言	英语
页（从-至）	479-482
页数	4
期刊	Communications in Theoretical Physics
卷	52
期	3
DOI	https://doi.org/10.1088/0253-6102/52/3/19
出版状态	已出版 - 2009

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abstract = "Based on the general direct method developed by Lou et al. [J. Phys. A: Math. Gen. 38 (2005) L129], the symmetry group theorem is obtained, from that both the Lie point groups and the non-Lie symmetry groups of the Konopelchenko-Dubrovsky (KD) equation are obtained. From the theorem, some exact solutions of KD equation are derived from a simple travelling wave solution and a multi-soliton solution.",

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AU - Zhang, Huan Ping

AU - Li, Biao

AU - Chen, Yong

PY - 2009

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N2 - Based on the general direct method developed by Lou et al. [J. Phys. A: Math. Gen. 38 (2005) L129], the symmetry group theorem is obtained, from that both the Lie point groups and the non-Lie symmetry groups of the Konopelchenko-Dubrovsky (KD) equation are obtained. From the theorem, some exact solutions of KD equation are derived from a simple travelling wave solution and a multi-soliton solution.

AB - Based on the general direct method developed by Lou et al. [J. Phys. A: Math. Gen. 38 (2005) L129], the symmetry group theorem is obtained, from that both the Lie point groups and the non-Lie symmetry groups of the Konopelchenko-Dubrovsky (KD) equation are obtained. From the theorem, some exact solutions of KD equation are derived from a simple travelling wave solution and a multi-soliton solution.

KW - Konopelchenko Dubrovsky equation

KW - Solitons

KW - Symmetry group

UR - https://www.scopus.com/pages/publications/70350248056

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JO - Communications in Theoretical Physics

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Finite symmetry transformation groups and exact solutions of konopelchenko-dubrovsky equation

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