中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Nonlinear partial differential equations solved by projective Riccati equations ansatz

文献类型:期刊论文

作者Li, B; Chen, Y
刊名ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
出版日期2003-09-01
卷号58期号:9-10页码:511-519
关键词general projective Riccati equations method nonlinear partial differential equation symbolic computation travelling wave solution
ISSN号0932-0784
英文摘要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.
WOS研究方向Chemistry ; Physics
语种英语
WOS记录号WOS:000186706700007
出版者VERLAG Z NATURFORSCH
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/18767]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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