Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations
文献类型：期刊论文
| 作者 | Xu, Xiaoping
|
| 刊名 | ACTA APPLICANDAE MATHEMATICAE
 |
| 出版日期 | 2009-06-01 |
| 卷号 | 106期号:3页码:433-454 |
| 关键词 | Stable range Short wave Khokhlov-Zabolotskaya Symmetry transformation Exact solution |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-008-9306-3 |
| 英文摘要 | Short wave equations were introduced in connection with the nonlinear reflection of weak shock waves. They also relate to the modulation of a gas-fluid mixture. Khokhlov-Zabolotskaya equation is used to describe the propagation of a diffraction sound beam in a nonlinear medium. We give a new algebraic method of solving these equations by using certain finite-dimensional stable range of the nonlinear terms and obtain large families of new explicit exact solutions parameterized by several functions for them. These parameter functions enable one to find the solutions of some related practical models and boundary value problems. |
| 语种 | 英语 |
| WOS记录号 | WOS:000265786600007 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7542]  |
| 专题 | 数学所 |
| 通讯作者 | Xu, Xiaoping |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Xiaoping. Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations[J]. ACTA APPLICANDAE MATHEMATICAE,2009,106(3):433-454. |
| APA | Xu, Xiaoping.(2009).Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations.ACTA APPLICANDAE MATHEMATICAE,106(3),433-454. |
| MLA | Xu, Xiaoping."Stable-Range Approach to Short Wave and Khokhlov-Zabolotskaya Equations".ACTA APPLICANDAE MATHEMATICAE 106.3(2009):433-454. |
入库方式： OAI收割
来源：数学与系统科学研究院
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