GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION
文献类型：期刊论文
| 作者 | Wu, Xinglong1,2 |
| 刊名 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 146期号:4页码:1537-1550 |
| 关键词 | Novikov Equation Analytic Solutions Global Existence Traveling Wave Solutions |
| ISSN号 | 0002-9939 |
| DOI | 10.1090/proc/12981 |
| 文献子类 | Article |
| 英文摘要 | In this paper, we mainly study the existence and uniqueness of the analytic solutions for the Novikov equation. We first investigate whether the equation has analytic solutions which exist globally in time, provided the initial data satisfies certain sign conditions. We also get the analyticity of the Cauchy problem for a family of nonlinear wave equations. Finally, we prove that the Novikov equation has a family of traveling wave solutions. |
| WOS关键词 | DEGASPERIS-PROCESI EQUATION ; SHALLOW-WATER EQUATION ; BLOW-UP PHENOMENA ; INTEGRABLE EQUATION ; PEAKON SOLUTIONS ; WEAK SOLUTIONS ; SHOCK-WAVES ; EXISTENCE ; THEOREM ; FAMILY |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000423537500016 |
| 出版者 | AMER MATHEMATICAL SOC |
| 资助机构 | NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/12846]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Wu, Xinglong |
| 作者单位 | 1.Wuhan Univ Technol, Dept Math, Wuhan 430070, Hubei, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Xinglong. GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2018,146(4):1537-1550. |
| APA | Wu, Xinglong.(2018).GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,146(4),1537-1550. |
| MLA | Wu, Xinglong."GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 146.4(2018):1537-1550. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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