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Applied Mathematics and Mechanics

, Volume 22, Issue 3, pp 326–331 | Cite as

A simple fast method in finding particular solutions of some nonlinear PDE

  • Liu Shi-kuo
  • Fu Zun-tao
  • Liu Shi-da
  • Zhao Qiang
Article

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.

Key words

trial function method nonlinear PDE shock wave solution solitary wave solution 

CLC numbers

O175 O411 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Liu Shi-kuo
    • 1
  • Fu Zun-tao
    • 1
    • 2
  • Liu Shi-da
    • 1
    • 2
  • Zhao Qiang
    • 1
  1. 1.Department of GeophysicsPeking UniversityBeijingP R China
  2. 2.SKLTRPeking UniversityBeijingP R China

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