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Zakharov方程的扩展的Jacobi椭圆函数展开解 被引量：2

Extended Jacobi Elliptic Function Expansion Solution to the Zakharov Equation
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摘要 将改进的Jacobi椭圆函数展开法应用到Zakharov方程,比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解).这种方法也适用于其他非线性方程或方程组. Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.Many new periodical solutions are obtained by this method.The method can also be applied to other nonlinear equation and equations.
作者 肖亚峰 薛海丽 张鸿庆
机构地区 华北工学院应用数学系 华北工学院计算机系 大连理工大学应用数学系
出处 《河北工业大学学报》 CAS 2004年第3期10-14,共5页 Journal of Hebei University of Technology
基金 国家重点基础研究发展规划资助项目(G1998030600) 国家自然科学基金资助项目(10072013)
关键词 ZAKHAROV方程 JACOBI椭圆函数 展开法 周期解 Zakharov Equation Jacobi elliptic function expansion method the periodical solutions
分类号 O175.2 [理学—基础数学]
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参考文献8

  • 1闫振亚,张鸿庆.非线性演化方程显式精确解的新算法[J].工科数学,2000,16(2):40-43. 被引量：9
  • 2刘式达,傅遵涛,刘式适,赵强.非线性波动方程的Jacobi椭圆函数包络周期解[J].物理学报,2002,51(4):718-722. 被引量：108
  • 3Wang M L,Zhou Y B,Li Z B.Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics [J].Phys LettA,1996(216):67-75.
  • 4Fan E G,Zhang H Q.Anew algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed kdveqution [J].Chaos,Solitons and Fractals,2003(15):567-574.
  • 5Fan E G,Zhang H Q.Anew algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed kdv eqution [J].Chaos,Solitons and Fractals,2003,(15):567-574.
  • 6Fu Z T,Liu S K,Liu S D,Zhao Q.New transformations and new approach to find exact solutions to nonlinear equations [J].Phys Lett A,2002(299):507-512.
  • 7Wu W J.Polynomial equation-solving and its application,algorithms and computation [M].Berlin:Springer-Verlag,1994.
  • 8肖亚峰,张鸿庆.Modified Improved Boussinesq方程的扩展椭圆函数展开解[J].兰州理工大学学报,2004,30(1):109-112. 被引量：8

二级参考文献18

共引文献119

同被引文献32

  • 1黄定江,张鸿庆.扩展的双曲函数法和Zakharov方程组的新精确孤立波解[J].物理学报,2004,53(8):2434-2438. 被引量：38
  • 2Weiss J, Tabor M, Carnevale G. The painleve property for partial differential equations [J]. J. Math. Phys., 1983, 24: 552-564.
  • 3Malfliet W, Hereman W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations [J]. Phys. Scr., 1996, 54:563 569.
  • 4Parkes E J, Duffy B R. An automated tanh-function method for finding solitary wave solutions to non- linear evalution equations [ J ]. Comput. Phys. Commun. , 1996, 98: 288-300.
  • 5Liu S K. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations [J]. Phys. Lett. A, 2001, 289: 69-74.
  • 6Fu Z T. The JEFE method and periodic solutions of two kinds of nonlinear wave equations[J]. Commu. Nonlinear Sci. Simul. , 2003, 8:67-75.
  • 7Yan Z Y. The extended Jacobian elliptic functions expansion method and its application in the generalized Hirota-Satsuma coupled KdV systems [J]. Chaos, Solitons and Fractals, 2003, 15(3): 575-583.
  • 8Yan Z Y. Abundant families of Jaeobi elliptic function solutions of the ( 2 + 1 )-dimensional integrable Davey-Stewartson-type equation via a new method [J]. Chaos, Solitons and Fraetals, 2003, 18(2).. 299-309.
  • 9Wang Q, Chen Y, Zhang H Q. A new Jacobi elliptic function rational expansion method and its application to (1 +1)-dimensional dispersive long wave equation [J]. Chaos, Solitons and Fractals, 2005, 23(2): 477-483.
  • 10Zhang H Q. Extended Jacobi elliptic function ex- pansion method and its applications [J]. Commu. Nonlinear Sci. Simul. , 2007, 12: 627-635.

引证文献2

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河北工业大学学报
2004年 第3期

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