Higher dimensional Painleve integrable models from the Kadomtsev-Petviashvili equation

	Higher dimensional Painleve integrable models from the Kadomtsev-Petviashvili equation
	Lou, SY ; Xu, JJ
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	1998-10-01
卷号	39 页码:5364-5376
ISSN号	0022-2488
英文摘要	After embedding the Kadomtsev-Petviashvili equation in higher dimensions and extending the Painleve analysis approach to a new form such that the coefficients of the expansion around the singular manifold possess conformal invariance and contain explicit new space variables, we can get infinitely many Painleve' integrable models in (3+1)-dimensions and higher dimensions. Some concrete higher dimensional modified Korteweg-de Vries type of extensions are given. Whether the models are Lax integrable or integrable under other meanings remain still open. (C) 1998 American Institute of Physics. [S0022-2488(98)00510-6].
WOS关键词	MULTIDIMENSIONAL INVERSE-SCATTERING ; NONCLASSICAL SYMMETRY REDUCTIONS ; PARTIAL-DIFFERENTIAL EQUATIONS ; NONLINEAR EVOLUTION-EQUATIONS ; NUCLEON STRUCTURE FUNCTIONS ; SOLITARY WAVES ; SIMILARITY REDUCTIONS ; BOUSSINESQ EQUATION ; 1ST-ORDER SYSTEMS ; CHIRAL SOLITON
WOS研究方向	Physics
语种	英语
出版者	AMER INST PHYSICS
WOS记录号	WOS:000076187800019
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/35511]
专题	中国科学院近代物理研究所
通讯作者	Lou, SY
作者单位	1.Ningbo Normal Coll, Inst Modern Phys, Ningbo 315211, Peoples R China 2.CCAST, World Lab, Beijing 100080, Peoples R China 3.Int Ctr Theoret Phys, I-34100 Trieste, Italy 4.Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Lou, SY,Xu, JJ. Higher dimensional Painleve integrable models from the Kadomtsev-Petviashvili equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,1998,39:5364-5376.
APA	Lou, SY,&Xu, JJ.(1998).Higher dimensional Painleve integrable models from the Kadomtsev-Petviashvili equation.JOURNAL OF MATHEMATICAL PHYSICS,39,5364-5376.
MLA	Lou, SY,et al."Higher dimensional Painleve integrable models from the Kadomtsev-Petviashvili equation".JOURNAL OF MATHEMATICAL PHYSICS 39(1998):5364-5376.