KMS Of Academy of mathematics and systems sciences, CAS
| Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation | |
| Yu, Xin1,2; Sun, Zhi-Yuan1,2; Zhou, Kai-Wen1,2; Shen, Yu-Jia3 | |
| 2018 | |
| 发表期刊 | APPLIED MATHEMATICS LETTERS
 |
| ISSN | 0893-9659 |
| 卷号 | 75页码:30-36 |
| 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. |
| 关键词 | Variable-coefficient forced KdV equation Nonlinear tunneling Spacial inhomogeneity Bilinear method |
| DOI | 10.1016/j.aml.2017.05.015 |
| 语种 | 英语 |
| 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 |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:000412964100006 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/26744 |
| 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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