On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation

doi:10.1016/j.nonrwa.2009.01.031

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	On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation
	Ai, Xiaolian 2; Gui, Guilong 1,3
	2010-04-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	11 期号:2 页码:888-894
摘要	We present an algorithm for the inverse scattering problem associated to the Dullin-Gottwald-Holm equation, arising in the study of the unidirectional propagation of waves in shallow water. In addition, a sufficient condition which guarantees the existence of the low regularity solutions for the generalized Dullin-Gottwald-Holm equation is studied by the method of energy estimation. (C) 2009 Elsevier Ltd. All rights reserved.
关键词	Inverse scattering problem Dullin-Gottwald-Holm equation Bi-Hamiltonian structure Low regularity solution
DOI	10.1016/j.nonrwa.2009.01.031
语种	英语
资助项目	National Nature Science Foundation of China[10771088]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000273101100027
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10547
专题	中国科学院数学与系统科学研究院
通讯作者	Gui, Guilong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Jiangsu Univ, Dept Finance, Zhenjiang 212013, Jiangsu, Peoples R China 3.Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Ai, Xiaolian,Gui, Guilong. On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2010,11(2):888-894.
APA	Ai, Xiaolian,&Gui, Guilong.(2010).On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,11(2),888-894.
MLA	Ai, Xiaolian,et al."On the inverse scattering problem and the low regularity solutions for the Dullin-Gottwald-Holm equation".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 11.2(2010):888-894.