Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations

doi:10.1007/s10440-009-9559-5

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	Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations
	Cao, Bintao
	2010-11-01
发表期刊	ACTA APPLICANDAE MATHEMATICAE
ISSN	0167-8019
卷号	112 期号:2 页码:181-203
摘要	The Jimbo-Miwa equation is the second equation in the well known KP hierarchy of integrable systems, which is used to describe certain interesting (3+1)-dimensional waves in physics but not pass any of the conventional integrability tests. The Konopelchenko-Dubrovsky equations arose in physics in connection with the nonlinear weaves with a weak dispersion. In this paper, we obtain two families of explicit exact solutions with multiple parameter functions for these equations by using Xu's stable-range method and our logarithmic generalization of the stable-range method. These parameter functions make our solutions more applicable to related practical models and boundary value problems.
关键词	Jimbo-Miwa Konopelchenko-Dubrovsky Stable-range Logarithmic stable-range
DOI	10.1007/s10440-009-9559-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000282506300003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9985
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Bintao
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Bintao. Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations[J]. ACTA APPLICANDAE MATHEMATICAE,2010,112(2):181-203.
APA	Cao, Bintao.(2010).Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations.ACTA APPLICANDAE MATHEMATICAE,112(2),181-203.
MLA	Cao, Bintao."Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations".ACTA APPLICANDAE MATHEMATICAE 112.2(2010):181-203.