WAVE BREAKING AND PERSISTENT DECAY OF SOLUTION TO A SHALLOW WATER WAVE EQUATION

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	WAVE BREAKING AND PERSISTENT DECAY OF SOLUTION TO A SHALLOW WATER WAVE EQUATION
	Yang, Xue 1; Wu, Xinglong 2
刊名	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
	2016-12-01
卷号	9 期号:6 页码:2149-2165
英文摘要	As we all know, wave breaking of the water wave is important and interesting to physicist and mathematician. In the article, we devote to the study of blow-up phenomena, the decay of solution and traveling wave solution to a shallow water wave equation. First, based on the blow-up scenario, some new blow-up phenomena is derived. By virtue of a weighted function, the persistent decay of solution is established. Finally, we explore the analytic solutions and traveling wave solutions.
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 ; GLOBAL WEAK SOLUTIONS ; INTEGRABLE EQUATION ; PEAKON SOLUTIONS ; CAUCHY-PROBLEM ; NOVIKOV EQUATION ; SHOCK-WAVES ; ANALYTICITY ; STABILITY
收录类别	SCI
语种	英语
WOS记录号	WOS:000387663900026
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9975]
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.Cent S Univ, Sch Business, Changsha 410012, Hunan, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Yang, Xue,Wu, Xinglong. WAVE BREAKING AND PERSISTENT DECAY OF SOLUTION TO A SHALLOW WATER WAVE EQUATION[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,2016,9(6):2149-2165.
APA	Yang, Xue,&Wu, Xinglong.(2016).WAVE BREAKING AND PERSISTENT DECAY OF SOLUTION TO A SHALLOW WATER WAVE EQUATION.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,9(6),2149-2165.
MLA	Yang, Xue,et al."WAVE BREAKING AND PERSISTENT DECAY OF SOLUTION TO A SHALLOW WATER WAVE EQUATION".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S 9.6(2016):2149-2165.