On a New Algorithm of Constructing Solitary Wave Solutions for Systems of Nonlinear Evolution Equations in mathematical Physics

Yan Zhenya; Zhang Hongqing

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(4): 342-347

Yan Zhenya, Zhang Hongqing. On a New Algorithm of Constructing Solitary Wave Solutions for Systems of Nonlinear Evolution Equations in mathematical Physics[J]. Applied Mathematics and Mechanics, 2000, 21(4): 342-347.

Citation:

PDF( 375 KB)

On a New Algorithm of Constructing Solitary Wave Solutions for Systems of Nonlinear Evolution Equations in mathematical Physics

Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P R China

Received Date: 1998-11-10
Rev Recd Date: 1999-10-15
Publish Date: 2000-04-15

Abstract

Abstract

According to the improved sine-cosine method and Wu-elimination method,a new algorithm to construct solitary wave solutions for systems of nonlinear evolution equations is put forward.The algorithm has some conclusions which are better than what the hyperbolic function method known does and is simpler in use.With the aid of MATHEMATICA,the algorithm can be carried out in computer.
- system of nonlinear evolution equations,
- sine-cosine method,
- Wu-elimination method,
- solitary wave solution

FullText(HTML)

References(8)

References

[1]	Yan C T.A simple transformation for nonlinear waves[J].Phys Lett A,1996,224(1):77～84.
[2]	Wu W.On zeros of algebraic equations[J].Kexue Tongbao,1986,31(1):1～5.
[3]	Wu W.Polynomial equations-solving and applications[A].In:Du Dingzhu,Ed.Algorithm and Computation[C].New York:Springer-Verlag,1994,1～6.
[4]	Whitham G B.Variational methods and applications to water waves[J].Proc Roy Soc London Ser A,1967,229(1):6～25.
[5]	Broer L T F.Approximate equations for long water waves[J].Appl Sci Res,1975,31(5):377～395.
[6]	Kupershmidt B A.Mathematics of dispersive waves[J].Comm Math Phys,1985,99(1):51～73.
[7]	范恩贵,张鸿庆.Whitham-Broer-Kaup浅水波方程的Backlund变换和精确解[J].应用数学和力学,1998,19(8):667～670.
[8]	曹策问.AKNS族的Lax方程组的非线性化[J].中国科学,A辑,1989,(7):706～712.