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A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
Wu, YT; Geng, XG; Hu, XB; Zhu, SM
1999-05-17
Source PublicationPHYSICS LETTERS A
ISSN0375-9601
Volume255Issue:4-6Pages:259-264
AbstractBy introducing a 4 X 4 matrix spectral problem with three potentials, we propose a new hierarchy of nonlinear evolution equations. A typical equation in the hierarchy is a generalization of the Hirota-Satsuma coupled Korteweg-de Vries equation. Also, it is shown that the hierarchy possesses the generalized Hamiltonian form. Further, a Miura transformation related to the typical equation and its reductions are derived, from which some new coupled modified Korteweg-de Vries equations are obtained. (C) 1999 Elsevier Science B.V. All rights reserved.
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000080681100010
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:110[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14496
Collection中国科学院数学与系统科学研究院
Affiliation1.Hong Kong Baptist Univ, Dept Comp Studies, Kowloon, Hong Kong
2.CCAST, World Lab, Beijing 100080, Peoples R China
3.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
4.Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
5.Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
Recommended Citation
GB/T 7714
Wu, YT,Geng, XG,Hu, XB,et al. A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations[J]. PHYSICS LETTERS A,1999,255(4-6):259-264.
APA Wu, YT,Geng, XG,Hu, XB,&Zhu, SM.(1999).A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations.PHYSICS LETTERS A,255(4-6),259-264.
MLA Wu, YT,et al."A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations".PHYSICS LETTERS A 255.4-6(1999):259-264.
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