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(2+1)维Boiti-Leon-Manna-Pempinelli方程的分离变量解 被引量：1

Variable Separation Solution of the (2+1)-dimensional Nonlinear Boiti-Leon-Manna-Pempinelli equation
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摘要 对于非线性演化方程,欲获其解并非易事。试图用设定的变量分离法来得到方程的解。同时,以(2+1)维Boiti-Leon-Manna-Pempinelli方程为例来说明之。 It's tough to obtain solutions of a nonlinear evolution equation. Our paper has tried to get a solution through a given variable separation approach and illustrate the approach in (2+1)-dimensional BLMP equation.
作者 马正义
机构地区 丽水学院数学系
出处 《丽水学院学报》 2004年第5期37-38,76,共3页 Journal of Lishui University
关键词 非线性演化方程 变量分离法 方程解 BLMP方程 nonlinear evolution equation variable separation approach (2+1)-dimensions
分类号 O175.2 [理学—基础数学]
  • 相关文献

参考文献4

  • 1Ruan H Y.On the coherent structures of (2+1)-dimensional breaking soliton equation[].Journal of the Physical Society of Japan.2002
  • 2Lou S Y,Tang X Y,et al.New localized excitations in (2+1)-dimensional integrable systems[].Modern Physics Letters A.2002
  • 3Zhen C L,Zhang J F,Sheng Z M.Chaos and Fractals in a (2+1)-dimensional soliton system[].Chinese Physics Letter.2003
  • 4Ying J P,Lou S Y.Multilinear variable separation approach in (3+1)-dimensions: the Burgers equation[].Chinese Physics Letter.2003

同被引文献11

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  • 3[5]TANG X Y.What will happen when a dromion meets with a ghoston?[J].Phys.Lett.A,2003,314:286～291.
  • 4[6]SUN J.Soliton-like solutions for the BLMP equation[J].Chinese Journal of Inner Mongolia Normal University,2001,30:1～5 (in Chinese).
  • 5[7]GAO Y T,TIAN B.Using Symbolic Computation to Exactly Solve for the Bogoyavlenskii's Generalized Breaking Soliton Equation[J],Comput.Math.Applic.,1997,33:35～37.
  • 6[8]GAO Y T.TIAN B.On a Generalized Breaking Soliton Equation[J].Chaos,Soliton.Fractal,1997,8:897～899.
  • 7[9]HE J H,WU X H Wu.Exp-function method for nonlinear wave equations[J].Chaos,Soliton Fractal,2006,30:700～708.
  • 8[10]ZHANG S.Application of Exp-function method to a KdV equation with variable[J].Phys.Lett.A,2007,365:448～453.
  • 9[11]EL-WAKIL S A,MADKOUR M A.ABDOU M A.Application of Exp-function method for nonlinear evolution equations with variable coefficients[J].Phys.Lett.A,2007,369:62～69.
  • 10[12]ZHANG S.Application of Exp-function method to high-dimensional nonlinear evolution equation[J].Chaos,Soliton Fractal,2006,1～6.

引证文献1

丽水学院学报
2004年 第5期

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