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Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (4): 383-388.

• 论文 • 上一篇    下一篇

ON A NEW ALGORITHM OF CONSTRUCTING SOLITARY WAVE SOLUTIONS FOR SYSTEMS OF NONLINEAR EVOLU-TION EQUATIONS IN MATHEMATICAL PHYSICS

闫振亚, 张鸿庆   

  1. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P. R. China
  • 收稿日期:1998-11-10 修回日期:1999-10-15 出版日期:2000-04-18 发布日期:2000-04-18
  • 基金资助:
    the Nationa lNatural Science Foundation of China (19572022);the National Climbing Project of China

ON A NEW ALGORITHM OF CONSTRUCTING SOLITARY WAVE SOLUTIONS FOR SYSTEMS OF NONLINEAR EVOLU-TION EQUATIONS IN MATHEMATICAL PHYSICS

Yan Zhenya, Zhang Hongqing   

  1. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, P. R. China
  • Received:1998-11-10 Revised:1999-10-15 Online:2000-04-18 Published:2000-04-18
  • Supported by:
    the Nationa lNatural Science Foundation of China (19572022);the National Climbing Project of China

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摘要： 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 simpler in use. With the aid of MATHEMA- TICA, the algorithm can be carried out in computer.

关键词: system of nonlinear evolution equations, sine-cosine method, Wu-elimination method, solitary wave solution

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 simpler in use. With the aid of MATHEMA-TICA, the algorithm can be carried out in computer.

Key words: system of nonlinear evolution equations, sine-cosine method, Wu-elimination method, solitary wave solution

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