Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 326-331.

• 论文 • 上一篇    下一篇

A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE

刘式适1, 付遵涛1,2, 刘式达1,2, 赵 强1   

  1. 1. Department of Geophysics, Peking University, Beijing 100871, P. R. China;
    2. SKLTR, Peking University, Beijing 100871, P. R. China
  • 收稿日期:2000-05-08 修回日期:2000-11-26 出版日期:2001-03-18 发布日期:2001-03-18
  • 基金资助:

    the Key Project of National Natural Science Foundation of China(40035010);the Special Fund of National Science and Technology Department (Extraordinarily Serious Disaster)

A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE

LIU Shi-kuo1, FU Zun-tao1,2, LIU Shi-da1,2, ZHAO Qiang1   

  1. 1. Department of Geophysics, Peking University, Beijing 100871, P. R. China;
    2. SKLTR, Peking University, Beijing 100871, P. R. China
  • Received:2000-05-08 Revised:2000-11-26 Online:2001-03-18 Published:2001-03-18
  • Supported by:

    the Key Project of National Natural Science Foundation of China(40035010);the Special Fund of National Science and Technology Department (Extraordinarily Serious Disaster)

摘要:

The “trial function method” (TFM for short) and a routine way in finding traveling wave solutions to some nonlinear partial differential equations(PDE for short) wer explained. Two types of evolution equations are studied, one is a generalized Burgers or KdV equation, the other is the Fisher equation with special nonlinear forms of its reaction rate term. One can see that this method is simple, fast and allowing further extension.

Abstract:

The “trial function method” (TFM for short) and a routine way in finding traveling wave solutions to some nonlinear partial differential equations(PDE for short) wer explained. Two types of evolution equations are studied, one is a generalized Burgers or KdV equation, the other is the Fisher equation with special nonlinear forms of its reaction rate term. One can see that this method is simple, fast and allowing further extension.

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