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Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations 被引量:2

Extended Riccati Equation Rational Expansion Method and Its Application to Nonlinear Stochastic Evolution Equations
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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 solution.s and trigonometric-like function solutions. The method can also be applied to solve other nonlinear stochastic evolution equation or equations.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5期785-789,共5页 理论物理通讯(英文版)
基金 The author would like to thank the referees very much for their careful reading of the manuscript and many valuable suggestions.
关键词 extended Riccati equation rational expansion method nonlinear stochastic evolution equation stochastic mKdV equation soliton-like solutions 延长Riccati方程有理扩展法 非线性随机进化方程 随机mKdV方程 理论物理
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