Painlevé property and conservation laws of multi-component mKdV equations

Ruoxia Yao; Changzheng Qu; Zhibin Li

doi:10.1016/j.chaos.2004.02.041

Painlevé property and conservation laws of multi-component mKdV equations

Ruoxia Yao
, Changzheng Qu^*
, Zhibin Li

^*此作品的通讯作者

数学科学学院

Northwest University China
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

It is shown that two classes of n-component mKdV equations are Painlevé integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,_n-1, 1,...,1_n-1, 5,...,5_n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,_n-1, 2,...,2_n-1, 4,...,4 _n-1 for another n-component mKdV equation which has an infinite number of Lie Bäcklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.

源语言	英语
页（从-至）	723-730
页数	8
期刊	Chaos, Solitons and Fractals
卷	22
期	3
DOI	https://doi.org/10.1016/j.chaos.2004.02.041
出版状态	已出版 - 11月 2004

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title = "Painlev{\'e} property and conservation laws of multi-component mKdV equations",

abstract = "It is shown that two classes of n-component mKdV equations are Painlev{\'e} integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,n-1, 1,...,1n-1, 5,...,5n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,n-1, 2,...,2n-1, 4,...,4 n-1 for another n-component mKdV equation which has an infinite number of Lie B{\"a}cklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.",

author = "Ruoxia Yao and Changzheng Qu and Zhibin Li",

year = "2004",

month = nov,

doi = "10.1016/j.chaos.2004.02.041",

language = "英语",

volume = "22",

pages = "723--730",

journal = "Chaos, Solitons and Fractals",

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TY - JOUR

T1 - Painlevé property and conservation laws of multi-component mKdV equations

AU - Yao, Ruoxia

AU - Qu, Changzheng

AU - Li, Zhibin

PY - 2004/11

Y1 - 2004/11

N2 - It is shown that two classes of n-component mKdV equations are Painlevé integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,n-1, 1,...,1n-1, 5,...,5n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,n-1, 2,...,2n-1, 4,...,4 n-1 for another n-component mKdV equation which has an infinite number of Lie Bäcklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.

AB - It is shown that two classes of n-component mKdV equations are Painlevé integrable, and the resonances occur, respectively, at -1,3,4, 0,...,0,n-1, 1,...,1n-1, 5,...,5n-1 for the geometric n-component mKdV equation which arises from curve motions in Euclidean space, and -1,3,4, 0,...,0,n-1, 2,...,2n-1, 4,...,4 n-1 for another n-component mKdV equation which has an infinite number of Lie Bäcklund symmetries. It is also shown that the two-component geometric mKdV equation admits an infinite number of conservation laws. Conservation laws for several systems are constructed.

UR - https://www.scopus.com/pages/publications/2042511648

U2 - 10.1016/j.chaos.2004.02.041

DO - 10.1016/j.chaos.2004.02.041

M3 - 文章

AN - SCOPUS:2042511648

SN - 0960-0779

VL - 22

SP - 723

EP - 730

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 3

ER -

Painlevé property and conservation laws of multi-component mKdV equations

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