Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations

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	Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations
	Wang, MJ ; Wang, Q
	2006-05-15
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	45 期号:5 页码:785-789
摘要	In this work, by means of a new more general ansatz and the symbolic computation system Maple, we extend the Riccati equation rational expansion method [Chaos, Solitons & Fractals 25 (2005) 1019] to uniformly construct a series of stochastic nontravelling wave solutions for nonlinear stochastic evolution equation. To illustrate the effectiveness of our method, we take the stochastic mKdV equation as an example, and successfully construct some new and more general solutions including a series of rational formal nontraveling wave and coefficient functions' soliton-like solutions and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations.
关键词	extended Riccati equation rational expansion method nonlinear stochastic evolution equation stochastic mKdV equation soliton-like solutions
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000237872800004
出版者	INTERNATIONAL ACADEMIC PUBLISHERS LIMITED
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3867
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, MJ
作者单位	1.Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China 2.Dalian Univ Technol, Dept Math Appl, Dalian 116024, 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, MJ,Wang, Q. Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2006,45(5):785-789.
APA	Wang, MJ,&Wang, Q.(2006).Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations.COMMUNICATIONS IN THEORETICAL PHYSICS,45(5),785-789.
MLA	Wang, MJ,et al."Extended Riccati equation rational expansion method and its application to nonlinear stochastic evolution equations".COMMUNICATIONS IN THEORETICAL PHYSICS 45.5(2006):785-789.