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

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	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
	2017-02-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	43 页码:311-329
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.
关键词	(2+1)-Dimensional KP equation Generalized perturbation Darboux transformation Rational solitons Rogue waves
DOI	10.1016/j.cnsns.2016.07.020
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000381584800027
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/23576
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.