Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations

doi:10.1016/j.cnsns.2016.07.020

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations
	Wen, Xiao-Yong 1,2; Yan, Zhenya1
刊名	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
	2017-02-01
卷号	43 页码:311-329
关键词	(2+1)-Dimensional KP equation Generalized perturbation Darboux transformation Rational solitons Rogue waves
ISSN号	1007-5704
DOI	10.1016/j.cnsns.2016.07.020
英文摘要	The novel generalized perturbation (n, M)-fold Darboux transformations (DTs) are reported for the (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and its extension by using the Taylor expansion of the Darboux matrix. The generalized perturbation (1, N - 1) fold DTs are used to find their higher-order rational solitons and rogue wave solutions in terms of determinants. The dynamics behaviors of these rogue waves are discussed in detail for different parameters and time, which display the interesting RW and soliton structures including the triangle, pentagon, heptagon profiles, etc. Moreover, we find that a new phenomenon that the parameter (a) can control the wave structures of the KP equation from the higher-order rogue waves (a not equal 0) into higher-order rational solitons (a = 0) in (x, t)-space with y = const. These results may predict the corresponding dynamical phenomena in the models of fluid mechanics and other physically relevant systems. (C) 2016 Elsevier B.V. All rights reserved.
资助项目	Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161] ; NSFC[61471406] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS
WOS研究方向	Mathematics ; Mechanics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000381584800027
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/23575]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Sch Appl Sci, Beijing 100192, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yan, Zhenya. Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2017,43:311-329.
APA	Wen, Xiao-Yong,&Yan, Zhenya.(2017).Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,43,311-329.
MLA	Wen, Xiao-Yong,et al."Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 43(2017):311-329.