Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients

doi:10.1016/j.amc.2011.04.047

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	Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients
	Yan, Zhenya1,2
	2011-07-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	217 期号:22 页码:9474-9479
摘要	The variable-coefficient Korteweg-de Vries (KdV) equation with additional terms contributed from the inhomogeneity in the axial direction and the strong transverse confinement of the condense was presented to describe the dynamics of nonlinear excitations in trapped quasi-one-dimensional Bose-Einstein condensates with repulsive atom-atom interactions. To understand the role of nonlinear dispersion in this variable-coefficient model, we introduce and study a new variable-coefficient KdV with nonlinear dispersion (called vc-K(m, n) equation). With the aid of symbolic computation, we obtain its compacton-like solutions and solitary pattern-like solutions. Moreover, we also present some conservation laws for both vc-K+(n, n) equation and vc-K (n, n) equation. (C) 2011 Elsevier Inc. All rights reserved.
关键词	Vc-K(m, n) equation Nnonlinear dispersion Symbolic analysis Compacton-like solutions Solitary pattern-like solutions Conservation laws
DOI	10.1016/j.amc.2011.04.047
语种	英语
资助项目	NSFC[60821002F02] ; NSFC[11071242]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000290902600059
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13046
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2011,217(22):9474-9479.
APA	Yan, Zhenya.(2011).Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients.APPLIED MATHEMATICS AND COMPUTATION,217(22),9474-9479.
MLA	Yan, Zhenya."Exact solutions of nonlinear dispersive K(m, n) model with variable coefficients".APPLIED MATHEMATICS AND COMPUTATION 217.22(2011):9474-9479.