数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (1): 138-144.

• 论文 • 上一篇    

EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE FIFTH ORDER MODEL EQUATION

 李志斌, 柳银萍, 王明亮   

  1. Department of Computer Science, East China Normal University, Shanghai 200062, China Department of Mathematics, Lanzhou University, Lanzhou 730000, China
  • 出版日期:2002-01-14 发布日期:2002-01-14
  • 基金资助:

    The project supported by the State Key Program of Basic Research of China (G1998030600), and the Natural Science Foundation of Shanghai, China(ZD14012)

EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE FIFTH ORDER MODEL EQUATION

 LI Zhi-Bin, LIU Yin-Ping, WANG Ming-Liang   

  1. Department of Computer Science, East China Normal University, Shanghai 200062, China Department of Mathematics, Lanzhou University, Lanzhou 730000, China
  • Online:2002-01-14 Published:2002-01-14
  • Supported by:

    The project supported by the State Key Program of Basic Research of China (G1998030600), and the Natural Science Foundation of Shanghai, China(ZD14012)

摘要:

With the aid of nonlinear transformations, and using the symbolic manip-ulation system, the exact solitary wave and soliton solutions to a fifth order nonlinear evolution equation with general coefficients are obtained, and the corresponding sufficient conditions that the equation admits of these type of solutions are given. From the results one can see how the apparently changes in the coefficients would effect the solutions.

关键词: Solitary wave, Soliton, symbolic manipulation

Abstract:

With the aid of nonlinear transformations, and using the symbolic manip-ulation system, the exact solitary wave and soliton solutions to a fifth order nonlinear evolution equation with general coefficients are obtained, and the corresponding sufficient conditions that the equation admits of these type of solutions are given. From the results one can see how the apparently changes in the coefficients would effect the solutions.

Key words: Solitary wave, Soliton, symbolic manipulation

中图分类号: 

  • 35J05