Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation

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	Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation
	Wang Ling 1; Dong Zhong-Zhou 2
	2008-10-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	50 期号:4 页码:832-840
摘要	By means of the generalized direct method, a relationship is constructed between the new, solutions and the old ones of the (3+1)-dimensional breaking soliton equation. Based on the relationship, a new solution is obtained by using a given solution of the equation. The symmetry is also obtained to the (3+1)-dimensional breaking soliton equation. By using the equivalent vector of the symmetry, we construct a seven-dimensional symmetry algebra, and get the optimal system of group-invariant solutions. To ever case of the optimal system, the (3+1)-dimensional breaking soliton equation is reduced and some solutions to the reduced equations are obtained. Furthermore, some new explicit solutions are found for the (3+1)-dimensional breaking soliton equation.
关键词	generalized direct method breaking soliton equation optimal system explicit solution
语种	英语
资助项目	National Natural Science Foundation of China[10735030] ; Shanghai Leading Academic Discipline Project[13412] ; Natural Science Foundations of Zhejiang Province of China[Y604056] ; Doctoral Foundation of Ningbo City[2005A61030]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000260450600007
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/6343
专题	中国科学院数学与系统科学研究院
通讯作者	Wang Ling
作者单位	1.Chizhou Univ, Dept Math & Comp Sci, Chizhou 247000, Peoples R China 2.E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang Ling,Dong Zhong-Zhou. Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2008,50(4):832-840.
APA	Wang Ling,&Dong Zhong-Zhou.(2008).Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation.COMMUNICATIONS IN THEORETICAL PHYSICS,50(4),832-840.
MLA	Wang Ling,et al."Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Breaking Soliton Equation".COMMUNICATIONS IN THEORETICAL PHYSICS 50.4(2008):832-840.