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Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

文献类型：期刊论文

作者Yu, Xin1,2; Sun, Zhi-Yuan1,2; Zhou, Kai-Wen1,2; Shen, Yu-Jia3
刊名APPLIED MATHEMATICS LETTERS
出版日期2018
卷号75页码:30-36
ISSN号0893-9659
关键词Variable-coefficient forced KdV equation Nonlinear tunneling Spacial inhomogeneity Bilinear method
DOI10.1016/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
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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