Nonlinear partial differential equations solved by projective Riccati equations ansatz

CSpace

	Nonlinear partial differential equations solved by projective Riccati equations ansatz
	Li, B ; Chen, Y
	2003-09-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	58 期号:9-10 页码:511-519
摘要	Based on the general projective Riccati equations method and symbolic computation, some new exact travelling wave solutions are obtained for a nonlinear reaction-diffusion equation, the high-order modified Boussinesq equation and the variant Boussinesq equation. The obtained solutions contain solitary waves, singular solitary waves, periodic and rational solutions. From our results, we can not only recover the known solitary wave solutions of these equations found by existing various tanh methods and other sophisticated methods, but also obtain some new and more general travelling wave solutions.
关键词	general projective Riccati equations method nonlinear partial differential equation symbolic computation travelling wave solution
语种	英语
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000186706700007
出版者	VERLAG Z NATURFORSCH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18768
专题	中国科学院数学与系统科学研究院
通讯作者	Li, B
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, B,Chen, Y. Nonlinear partial differential equations solved by projective Riccati equations ansatz[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2003,58(9-10):511-519.
APA	Li, B,&Chen, Y.(2003).Nonlinear partial differential equations solved by projective Riccati equations ansatz.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,58(9-10),511-519.
MLA	Li, B,et al."Nonlinear partial differential equations solved by projective Riccati equations ansatz".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 58.9-10(2003):511-519.