The Cauchy problem of the modified CH and DP equations
文献类型：期刊论文
| 作者 | Wu, Xinglong1; Guo, Boling2 |
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2015-06-01 |
| 卷号 | 80期号:3页码:906-930 |
| 关键词 | the modified CH and DP equations local well-posedness Besov space conservation laws blow-up scenario blow-up phenomena blow-up rate persistence properties |
| 英文摘要 | We mainly study the Cauchy problem of modified Camassa-Holm and Degasperis-Procesi equations. First, we establish the local well-posedness for the equation in Besov space. Secondly, we derive the conservation laws and a precise blow-up scenario. Moreover, we prove the existence of blow-up solutions and obtain its blow-up rate, provided the initial data satisfy certain conditions. Finally, we present the persistence properties of the equation. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | DEGASPERIS-PROCESI EQUATION ; CAMASSA-HOLM EQUATION ; TRAVELING-WAVE SOLUTIONS ; SHALLOW-WATER EQUATION ; BLOW-UP PHENOMENA ; PEAKON SOLUTIONS ; INTEGRABLE EQUATION ; MODIFIED FORMS ; PROPAGATION SPEED ; BREAKING WAVES |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000355918000016 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4759]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Xinglong,Guo, Boling. The Cauchy problem of the modified CH and DP equations[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2015,80(3):906-930. |
| APA | Wu, Xinglong,&Guo, Boling.(2015).The Cauchy problem of the modified CH and DP equations.IMA JOURNAL OF APPLIED MATHEMATICS,80(3),906-930. |
| MLA | Wu, Xinglong,et al."The Cauchy problem of the modified CH and DP equations".IMA JOURNAL OF APPLIED MATHEMATICS 80.3(2015):906-930. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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