Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation

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	Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic potential vorticity equation
	Zhang Huan-Ping 1,2; Li Biao 1,2,5; Chen Yong 1,2,3; Huang Fei 4
	2010-02-01
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	19 期号:2 页码:8
摘要	By 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.
关键词	baroclinic potential vorticity equation generalized Kadomtsev-Petviashvili equation symmetry groups approximate solution
语种	英语
资助项目	National 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研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000274949400001
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10300
专题	中国科学院数学与系统科学研究院
通讯作者	Li Biao
作者单位	1.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
推荐引用方式 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.