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Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation
Zhang Huan-Ping1,2; Li Biao1,2,5; Chen Yong1,2,3; Huang Fei4
2010-02-01
Source PublicationCHINESE PHYSICS B
ISSN1674-1056
Volume19Issue:2Pages:8
AbstractBy means of the reductive perturbation method, three types of generalized (2+1)-dimensional Kadomtsev-Petviashvili (KP) equations are derived from the baroclinic potential vorticity (BPV) equation, including the modified KP (mKP) equation, standard KP equation and cylindrical KP (cKP) equation. Then some solutions of generalized cKP and KP equations with certain conditions are given directly and a relationship between the generalized mKP equation and the mKP equation is established by the symmetry group direct method proposed by Louetal. From the relationship and the solutions of them KP equation, some solutions of the generalized mKP equation can be obtained. Further more, some approximate solutions of the baroclinic potential vorticity equation are derived from three types of generalized KP equations.
Keywordbaroclinic potential vorticity equation generalized Kadomtsev-Petviashvili equation symmetry groups approximate solution
Language英语
Funding ProjectNational Natural Science Foundation of China[10735030] ; National Natural Science Foundation of China[40775042] ; Ningbo Natural Science Foundation[2008A610017] ; National Basic Research Program of China[2005CB422301] ; National Basic Research Program of China[2007CB814800] ; K.C. Wong Magna Fund in Ningbo University
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000274949400001
PublisherIOP PUBLISHING LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/10300
Collection中国科学院数学与系统科学研究院
Corresponding AuthorLi Biao
Affiliation1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China
2.Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
3.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China
4.Ocean Univ China, Dept Marine Meteorol, Qingdao 266003, Peoples R China
5.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang Huan-Ping,Li Biao,Chen Yong,et al. Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation[J]. CHINESE PHYSICS B,2010,19(2):8.
APA Zhang Huan-Ping,Li Biao,Chen Yong,&Huang Fei.(2010).Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation.CHINESE PHYSICS B,19(2),8.
MLA Zhang Huan-Ping,et al."Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation".CHINESE PHYSICS B 19.2(2010):8.
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