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

文献类型：期刊论文

作者Ai, Xiaolian2; Gui, Guilong1,3
刊名NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
出版日期2010-04-01
卷号11期号:2页码:888-894
关键词Inverse scattering problem Dullin-Gottwald-Holm equation Bi-Hamiltonian structure Low regularity solution
ISSN号1468-1218
DOI10.1016/j.nonrwa.2009.01.031
英文摘要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.
资助项目National Nature Science Foundation of China[10771088]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000273101100027
出版者PERGAMON-ELSEVIER SCIENCE LTD
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10546]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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