New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations

doi:10.1016/j.chaos.2005.04.057

CSpace

	New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations
	Zhu, YG ; Lu, ZS
	2006-02-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	27 期号:3 页码:836-842
摘要	In this paper, we study the nonlinear dispersive K(m, n) equations: u(t) + (u(m))(x) - (u(n))(xxx) = 0 which exhibit solutions with solitary patterns. New exact solitary solutions are found. The two special cases, K(2,2) and K(3,3), are chosen to illustrate the concrete features of the decomposition method in K(m,n) equations. The nonlinear equations K(m, n) are studied for two different cases, namely when m = n being odd and even integers. General formulas for the solutions of K(m,n) equations are established. (c) 2005 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2005.04.057
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000232193700025
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2869
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, YG
作者单位	1.Commun Univ China, Sch Sci, Beijing 100024, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhu, YG,Lu, ZS. New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations[J]. CHAOS SOLITONS & FRACTALS,2006,27(3):836-842.
APA	Zhu, YG,&Lu, ZS.(2006).New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations.CHAOS SOLITONS & FRACTALS,27(3),836-842.
MLA	Zhu, YG,et al."New exact solitary-wave special solutions for the nonlinear dispersive K(m,n) equations".CHAOS SOLITONS & FRACTALS 27.3(2006):836-842.