Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations

doi:10.1016/j.physleta.2006.04.032

CSpace > 系统科学研究所

	Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations
	Yan, Zhenya
	2006-09-11
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	357 期号:3 页码:196-203
摘要	In this Letter, to further understand the role of nonlinear dispersion in the generalized nonlinear Schrodinger equation, we introduce and study the generalized nonlinear Schrodinger equation with nonlinear dispersion (called GNLS(m, n, p, q) equation): iu(t) + a(u vertical bar u vertical bar(n-1))(xx) +bu vertical bar u vertical bar(m-1) + ic(u vertical bar u vertical bar(p-1))(xxx) +id(u vertical bar u vertical bar(q-1))(x) = 0. Some new envelope compacton solutions and solitary pattern solutions of GNLS(m, n, p, q) equation are obtained via the gauge transformation and some direct ansatze. In particular, it is shown that GNLS (m, n, p, q) equation with linear dispersion gives rise to envelope compactons and solitary patterns, which implies that nonlinear dispersion is not necessary condition for GNLS(m, n, p, q) equation to admit envelope compactons and solitary patterns. Moreover, some unusually local conservation laws are presented for GNLS(+)(n, n, n, n) equation and GNLS(-) (n, n, n, n) equation, respectively. (c) 2006 Elsevier B.V. All rights reserved.
关键词	GNLS(m, n, p, q) equation nonlinear dispersion linear dispersion envelope compactons envelope solitary patterns conservation laws
DOI	10.1016/j.physleta.2006.04.032
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000240414700007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2633
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.CCAST, World Lab, Beijing 100080, 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. Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations[J]. PHYSICS LETTERS A,2006,357(3):196-203.
APA	Yan, Zhenya.(2006).Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations.PHYSICS LETTERS A,357(3),196-203.
MLA	Yan, Zhenya."Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations".PHYSICS LETTERS A 357.3(2006):196-203.