GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION

doi:10.1090/proc/12981

	GLOBAL ANALYTIC SOLUTIONS AND TRAVELING WAVE SOLUTIONS OF THE CAUCHY PROBLEM FOR THE NOVIKOV EQUATION
	Wu, Xinglong 1,2
刊名	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
	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
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000423537500016
资助机构	NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122) ; NSFC(11401122)
内容类型	期刊论文
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.