Higher dimensional integrable models from lower ones via Miura type deformation relation

	Higher dimensional integrable models from lower ones via Miura type deformation relation
	Lou, SY ; Yu, J ; Tang, XY
刊名	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
	2000-11-01
卷号	55 页码:867-876
关键词	noninvertible deformation high dimensional integrable models camber solitons ring solitons
ISSN号	0932-0784
英文摘要	To find nontrivial high dimensional integrable models (especially in (3+1)-dimensions) is one of the most important problems in nonlinear physics. A systematic method to find some nontrivial high dimensional integrable models is established by means of noninvertible deformation relations. Starting from a noninvertible Miura type transformation, we find that the (1+1)-dimensional sinh-Gordon model appearing in many physical fields is a deformation of the (0+1)-dimensional Riccati equation. A high dimensional Miura type deformation (including two different (3+1)-dimensional reductions) of the heat conduction equation is proved to be Painleve integrable. Some special types of explicit exact solutions, like multi-plane and/or multi-camber soliton solutions, multi-dromion solutions and multiple ring soliton solutions, are obtained.
WOS关键词	CONFORMAL FIELD-THEORY ; KDV-TYPE EQUATION ; PAINLEVE PROPERTY ; SINGULARITY ANALYSIS ; COHERENT STRUCTURES ; SYMMETRY ALGEBRA ; SOLITON ; TRANSFORMATIONS ; PLASMA ; PHI-4
WOS研究方向	Chemistry ; Physics
语种	英语
出版者	VERLAG Z NATURFORSCH
WOS记录号	WOS:000166834700005
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/36480]
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.Shanghai Jiao Tong Univ, Dept Appl Phys, Shanghai 200030, Peoples R China 2.Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China
推荐引用方式 GB/T 7714	Lou, SY,Yu, J,Tang, XY. Higher dimensional integrable models from lower ones via Miura type deformation relation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2000,55:867-876.
APA	Lou, SY,Yu, J,&Tang, XY.(2000).Higher dimensional integrable models from lower ones via Miura type deformation relation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,55,867-876.
MLA	Lou, SY,et al."Higher dimensional integrable models from lower ones via Miura type deformation relation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 55(2000):867-876.