On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization

doi:10.1016/j.jmaa.2006.08.021

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	On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization
	Yu, Guo-Fu ; Tam, Hon-Wah
	2007-06-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	330 期号:2 页码:989-1001
摘要	In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed. (c) 2006 Elsevier Inc. All rights reserved.
关键词	soliton pfaffian Casorati solution Grammian determinant
DOI	10.1016/j.jmaa.2006.08.021
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000245639300018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4872
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, Guo-Fu
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yu, Guo-Fu,Tam, Hon-Wah. On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,330(2):989-1001.
APA	Yu, Guo-Fu,&Tam, Hon-Wah.(2007).On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,330(2),989-1001.
MLA	Yu, Guo-Fu,et al."On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330.2(2007):989-1001.