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New periodic solutions to a generalized Hirota-Satsuma coupled KdV system
Yan, QY; Zhang, YF; Wei, XP
2003-02-01
Source PublicationCHINESE PHYSICS
ISSN1009-1963
Volume12Issue:2Pages:131-135
AbstractUsing expansions in terms of the Jacobi elliptic cosine function and third Jacobi elliptic function, some new periodic solutions to the generalized Hirota-Satsuma coupled KdV system are obtained with the help of the algorithm Mathematica. These periodic solutions are also reduced to the bell-shaped solitary wave solutions and kink-shape solitary solutions. As special cases, we obtain new periodic solution, bell-shaped and kink-shaped solitary solutions to the well-known Hirota-Satsuma equations.
Keywordperiodic solution Hirota-Satsuma coupled KdV system Jacobi elliptic function
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000181024600001
PublisherCHINESE PHYSICAL SOC
Citation statistics
Cited Times:15[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18080
Collection中国科学院数学与系统科学研究院
Affiliation1.Dalian Univ, Ctr Adv Design Technol, Dalian 116622, Peoples R China
2.Dalian Univ Technol, Sch Mech Engn, Dalian 116024, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
4.Shanghai Univ Sci & Technol, Sch Informat Sci & Engn, Tai An 271019, Peoples R China
Recommended Citation
GB/T 7714
Yan, QY,Zhang, YF,Wei, XP. New periodic solutions to a generalized Hirota-Satsuma coupled KdV system[J]. CHINESE PHYSICS,2003,12(2):131-135.
APA Yan, QY,Zhang, YF,&Wei, XP.(2003).New periodic solutions to a generalized Hirota-Satsuma coupled KdV system.CHINESE PHYSICS,12(2),131-135.
MLA Yan, QY,et al."New periodic solutions to a generalized Hirota-Satsuma coupled KdV system".CHINESE PHYSICS 12.2(2003):131-135.
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