Conte truncated expansion and applications

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	Conte truncated expansion and applications
	Zhang, YF ; Yan, QY
	2003-12-01
发表期刊	INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN	0020-7748
卷号	42 期号:12 页码:3011-3018
摘要	In the special Conte truncated expansion approach one obtains different solutions of the Prigogine-Lefever equation by use of various solutions of a type of Riccati equation, including the periodic soliton solutions and singular soliton solutions. In order to acquire conveniently the soliton solutions of the Boussinesq equation, a proper transformation is applied. Using the special Conte truncated expansion approach yields the known bell-shape solutions and some new soliton solutions like cot(2) x sec(2), tan(2) x csec(2), tanh(2) x sech(2), etc. We also study the soliton solutions of the modified Burgers equation ( MBE). Using leading term analysis, we find the exponent is a fraction, i.e., -1/2. Therefore, the special Conte truncated expansion approach cannot be used directly. A transformation is first made to them another form of the MBE. Various soliton solutions of MBE are then presented, including the periodic solutions and singular soliton solutions.
关键词	truncate expansion exact solution Riccati equation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000186896700023
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19050
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YF
作者单位	1.Shandong Univ Sci & Technol, Sch Informat Sci & Engn, Tai An, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Inst Computat Math, Beijing, Peoples R China 3.Shandong Finance Inst, Dept Econ & Stat, Jinan, Peoples R China 4.Dalian Univ Technol, Sch Mech Engn, Dalian Liaoning, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YF,Yan, QY. Conte truncated expansion and applications[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2003,42(12):3011-3018.
APA	Zhang, YF,&Yan, QY.(2003).Conte truncated expansion and applications.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,42(12),3011-3018.
MLA	Zhang, YF,et al."Conte truncated expansion and applications".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 42.12(2003):3011-3018.