Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

doi:10.1016/j.aml.2017.05.015

	Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation
	Yu, Xin 1,2; Sun, Zhi-Yuan 1,2; Zhou, Kai-Wen 1,2; Shen, Yu-Jia 3
刊名	APPLIED MATHEMATICS LETTERS
	2018
卷号	75 页码:30-36
关键词	Variable-coefficient forced KdV equation Nonlinear tunneling Spacial inhomogeneity Bilinear method
ISSN号	0893-9659
DOI	10.1016/j.aml.2017.05.015
英文摘要	A variable-coefficient forced Korteweg-de Vries equation with spacial inhomogeneity is investigated in this paper. Under constraints, this equation is transformed into its bilinear form, and multi-soliton solutions are derived. Effects of spacial inhomogeneity for soliton velocity, width and background are discussed. Nonlinear tunneling for this equation is presented, where the soliton amplitude can be amplified or compressed. Our results might be useful for the relevant problems in fluids and plasmas. (C) 2017 Elsevier Ltd. All rights reserved.
资助项目	National Natural Science Foundation of China[11302014] ; Fundamental Research Funds for the Central Universities[50100002013105026] ; Fundamental Research Funds for the Central Universities[50100002015105032] ; Zhuoyue Talent Program of Beihang University
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000412964100006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26743]
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Xin
作者单位	1.Beijing Univ Aeronaut & Astronaut, Key Lab Fluid Mech, Minist Educ, Beijing 100191, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yu, Xin,Sun, Zhi-Yuan,Zhou, Kai-Wen,et al. Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation[J]. APPLIED MATHEMATICS LETTERS,2018,75:30-36.
APA	Yu, Xin,Sun, Zhi-Yuan,Zhou, Kai-Wen,&Shen, Yu-Jia.(2018).Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation.APPLIED MATHEMATICS LETTERS,75,30-36.
MLA	Yu, Xin,et al."Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation".APPLIED MATHEMATICS LETTERS 75(2018):30-36.