Conditional similarity reduction approach: Jimbo-Miwa equation

Sen Yue Lou; Xiao Yan Tang

doi:10.1088/1009-1963/10/10/303

Conditional similarity reduction approach: Jimbo-Miwa equation

Sen Yue Lou^*
, Xiao Yan Tang

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

57 引用（Scopus）

摘要

The direct method developed by Clarkson and Kruskal (1989 J. Math. Phys. 30 2201) for finding the symmetry reductions of a nonlinear system is extended to find the conditional similarity solutions. Using the method of the Jimbo-Miwa (JM) equation, we find that three well-known (2+1)-dimensional models - the asymmetric Nizhnik-Novikov-Veselov equation, the breaking soliton equation and the Kadomtsev-Petviashvili equation - can all be obtained as the conditional similarity reductions of the JM equation.

源语言	英语
页（从-至）	897-901
页数	5
期刊	Chinese Physics (Overseas Edition)
卷	10
期	10
DOI	https://doi.org/10.1088/1009-1963/10/10/303
出版状态	已出版 - 2001
已对外发布	是

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title = "Conditional similarity reduction approach: Jimbo-Miwa equation",

abstract = "The direct method developed by Clarkson and Kruskal (1989 J. Math. Phys. 30 2201) for finding the symmetry reductions of a nonlinear system is extended to find the conditional similarity solutions. Using the method of the Jimbo-Miwa (JM) equation, we find that three well-known (2+1)-dimensional models - the asymmetric Nizhnik-Novikov-Veselov equation, the breaking soliton equation and the Kadomtsev-Petviashvili equation - can all be obtained as the conditional similarity reductions of the JM equation.",

keywords = "Asymmetric Nizhnik-Novikov-Veselov equation, Breaking soliton equation, Conditional similarity reductions, Jimbo-Miwa equation, Kadomtsev-Petviashvili equation",

author = "Lou, \{Sen Yue\} and Tang, \{Xiao Yan\}",

year = "2001",

doi = "10.1088/1009-1963/10/10/303",

language = "英语",

volume = "10",

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T1 - Conditional similarity reduction approach

T2 - Jimbo-Miwa equation

AU - Lou, Sen Yue

AU - Tang, Xiao Yan

PY - 2001

Y1 - 2001

N2 - The direct method developed by Clarkson and Kruskal (1989 J. Math. Phys. 30 2201) for finding the symmetry reductions of a nonlinear system is extended to find the conditional similarity solutions. Using the method of the Jimbo-Miwa (JM) equation, we find that three well-known (2+1)-dimensional models - the asymmetric Nizhnik-Novikov-Veselov equation, the breaking soliton equation and the Kadomtsev-Petviashvili equation - can all be obtained as the conditional similarity reductions of the JM equation.

AB - The direct method developed by Clarkson and Kruskal (1989 J. Math. Phys. 30 2201) for finding the symmetry reductions of a nonlinear system is extended to find the conditional similarity solutions. Using the method of the Jimbo-Miwa (JM) equation, we find that three well-known (2+1)-dimensional models - the asymmetric Nizhnik-Novikov-Veselov equation, the breaking soliton equation and the Kadomtsev-Petviashvili equation - can all be obtained as the conditional similarity reductions of the JM equation.

KW - Asymmetric Nizhnik-Novikov-Veselov equation

KW - Breaking soliton equation

KW - Conditional similarity reductions

KW - Jimbo-Miwa equation

KW - Kadomtsev-Petviashvili equation

UR - https://www.scopus.com/pages/publications/0035486295

U2 - 10.1088/1009-1963/10/10/303

DO - 10.1088/1009-1963/10/10/303

M3 - 文章

AN - SCOPUS:0035486295

SN - 1009-1963

VL - 10

SP - 897

EP - 901

JO - Chinese Physics (Overseas Edition)

JF - Chinese Physics (Overseas Edition)

IS - 10

ER -

Conditional similarity reduction approach: Jimbo-Miwa equation

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