Similarity reductions of (2+1)-dimensional multi-component Broer-Kaup system

Zhong Zhou Dong; Yong Chen; Ling Weng

doi:10.1088/0253-6102/50/4/02

Similarity reductions of (2+1)-dimensional multi-component Broer-Kaup system

Zhong Zhou Dong, Yong Chen, Ling Weng

School of Mathematical Sciences

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

4 Scopus citations

Abstract

Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss-Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system.

Original language	English
Pages (from-to)	803-808
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	50
Issue number	4
DOIs	https://doi.org/10.1088/0253-6102/50/4/02
State	Published - 15 Oct 2008

Keywords

Direct method
Multi-component Broer-Kaup system
Similarity reduction

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10.1088/0253-6102/50/4/02

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title = "Similarity reductions of (2+1)-dimensional multi-component Broer-Kaup system",

abstract = "Painlev{\'e} property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss-Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system.",

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AU - Chen, Yong

AU - Weng, Ling

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N2 - Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss-Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system.

AB - Painlevé property of the (2+1)-dimensional multi-component Broer-Kaup (BK) system is considered by using the standard Weiss-Kruskal approaches. Applying the Clarkson and Kruskal (CK) direct method to the (2+1)-dimensional multi-component BK system, some types of similarity reductions are obtained. By solving the reductions, one can get the solutions of the (2+1)-dimensional multi-component BK system.

KW - Direct method

KW - Multi-component Broer-Kaup system

KW - Similarity reduction

UR - https://www.scopus.com/pages/publications/56349090559

U2 - 10.1088/0253-6102/50/4/02

DO - 10.1088/0253-6102/50/4/02

M3 - 文章

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SN - 0253-6102

VL - 50

SP - 803

EP - 808

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 4

ER -

Similarity reductions of (2+1)-dimensional multi-component Broer-Kaup system

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Keywords

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