Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations
文献类型：期刊论文
| 作者 | Cao, Bintao |
| 刊名 | ACTA APPLICANDAE MATHEMATICAE
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 112期号:2页码:181-203 |
| 关键词 | Jimbo-Miwa Konopelchenko-Dubrovsky Stable-range Logarithmic stable-range |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-009-9559-5 |
| 英文摘要 | The Jimbo-Miwa equation is the second equation in the well known KP hierarchy of integrable systems, which is used to describe certain interesting (3+1)-dimensional waves in physics but not pass any of the conventional integrability tests. The Konopelchenko-Dubrovsky equations arose in physics in connection with the nonlinear weaves with a weak dispersion. In this paper, we obtain two families of explicit exact solutions with multiple parameter functions for these equations by using Xu's stable-range method and our logarithmic generalization of the stable-range method. These parameter functions make our solutions more applicable to related practical models and boundary value problems. |
| 语种 | 英语 |
| WOS记录号 | WOS:000282506300003 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9984]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, Bintao |
| 作者单位 | Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Bintao. Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations[J]. ACTA APPLICANDAE MATHEMATICAE,2010,112(2):181-203. |
| APA | Cao, Bintao.(2010).Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations.ACTA APPLICANDAE MATHEMATICAE,112(2),181-203. |
| MLA | Cao, Bintao."Solutions of Jimbo-Miwa Equation and Konopelchenko-Dubrovsky Equations".ACTA APPLICANDAE MATHEMATICAE 112.2(2010):181-203. |
入库方式： OAI收割
来源：数学与系统科学研究院
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