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On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization
Yu, Guo-Fu; Tam, Hon-Wah
2007-06-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume330Issue:2Pages:989-1001
AbstractIn 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.
Keywordsoliton pfaffian Casorati solution Grammian determinant
DOI10.1016/j.jmaa.2006.08.021
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000245639300018
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/4872
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYu, Guo-Fu
Affiliation1.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
Recommended Citation
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.
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