Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

Xin Yu; Zhi Yuan Sun; Kai Wen Zhou; Yu Jia Shen

doi:10.1016/j.aml.2017.05.015

Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

Xin Yu^*
, Zhi Yuan Sun
, Kai Wen Zhou
, Yu Jia Shen

^*此作品的通讯作者

航空科学与工程学院

Beihang University
CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

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.

源语言	英语
页（从-至）	30-36
页数	7
期刊	Applied Mathematics Letters
卷	75
DOI	https://doi.org/10.1016/j.aml.2017.05.015
出版状态	已出版 - 1月 2018

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title = "Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation",

abstract = "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.",

keywords = "Bilinear method, Nonlinear tunneling, Spacial inhomogeneity, Variable-coefficient forced KdV equation",

author = "Xin Yu and Sun, \{Zhi Yuan\} and Zhou, \{Kai Wen\} and Shen, \{Yu Jia\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Ltd",

year = "2018",

month = jan,

doi = "10.1016/j.aml.2017.05.015",

language = "英语",

volume = "75",

pages = "30--36",

journal = "Applied Mathematics Letters",

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T1 - Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

AU - Yu, Xin

AU - Sun, Zhi Yuan

AU - Zhou, Kai Wen

AU - Shen, Yu Jia

PY - 2018/1

Y1 - 2018/1

N2 - 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.

AB - 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.

KW - Bilinear method

KW - Nonlinear tunneling

KW - Spacial inhomogeneity

KW - Variable-coefficient forced KdV equation

UR - https://www.scopus.com/pages/publications/85024383653

U2 - 10.1016/j.aml.2017.05.015

DO - 10.1016/j.aml.2017.05.015

M3 - 文章

AN - SCOPUS:85024383653

SN - 0893-9659

VL - 75

SP - 30

EP - 36

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation

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