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Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System

Extended Jacobi Elliptic Function Rational Expansion Method and Its Application to (2+1)-Dimensional Stochastic Dispersive Long Wave System
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摘要 <正> In this work,by means of a generalized method and symbolic computation,we extend the Jacobi ellipticfunction rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolutionequations.To illustrate the effectiveness of our method,we take the(2+1)-dimensional stochastic dispersive long wavesystem as an example.We not only have obtained some known solutions,but also have constructed some new rationalformal stochastic Jacobi elliptic function solutions. In this work, by means of a generalized method and symbolic computation, we extend the Jacobi elliptic function rational expansion method to uniformly construct a series of stochastic wave solutions for stochastic evolution equations. To illustrate the effectiveness of our method, we take the (2+ 1)-dimensional stochastic dispersive long wave system as an example. We not only have obtained some known solutions, but also have constructed some new rational formal stochastic Jacobi elliptic function solutions.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第6期969-974,共6页 理论物理通讯(英文版)
基金 The project partially supported by the State Key Basic Research Program of China under Grant No. 2004CB318000
关键词 扩展Jacobi椭圆函数 有理扩展法 (2+1)-维随机离散长波系统 随机进化方程 精确解 stochastic evolution equations, (2+ 1)-dimensional stochastic dispersive long wave system, rational formal stochastic Jacobi elliptic function solutions
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  • 1M.J.Ablowitz and P.A.Clarkson,Soliton,Nonlinear Evolution Equations and Inverse Scattering,Cambridge University Press,New York (1991).
  • 2M.Wadat,J.Phys.Soc.Jpn.32 (1972) 1681.
  • 3M.L.Wang,Phys.Lett.A 199 (1995) 169
  • 4M.L.Wang,Y.B.Zhou,and Z.B.Li,Phys.Lett.A 234 (1997) 477.
  • 5E.G.Fan,Chaos,Solitons & Fractals 15 (2003) 559
  • 6E.G.Fan,Chaos,Solitons & Fractals 16 (2003) 819
  • 7E.G.Fan,Chaos,Solitons & Fractals 19 (2004) 1141.
  • 8S.K.Liu,Z.T.Fu,S.D.Liu,and Q.Zhao,Phys.Lett.A 289 (2001) 69
  • 9S.K.Liu,Z.T.Fu,S.D.Liu,and Q.Zhao,Phys.Lett.A 269 (2000) 319.
  • 10Z.B.Li and Y.P.Liu,Comp.Phys.Commun.148 (2002)256

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