A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDE

LIU Shi-kuo; FU Zun-tao; LIU Shi-da; ZHAO Qiang

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(3): 281-286

LIU Shi-kuo, FU Zun-tao, LIU Shi-da, ZHAO Qiang. A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDE[J]. Applied Mathematics and Mechanics, 2001, 22(3): 281-286.

Citation:

LIU Shi-kuo, FU Zun-tao, LIU Shi-da, ZHAO Qiang. A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDE[J]. Applied Mathematics and Mechanics, 2001, 22(3): 281-286.

Citation:

LIU Shi-kuo, FU Zun-tao, LIU Shi-da, ZHAO Qiang. A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDE[J]. Applied Mathematics and Mechanics, 2001, 22(3): 281-286.

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A Simple Fast Method in Finding Particular Solutions of Some Nonlinear PDE

1.
Department of Geophysics, Peking University, Beijing 100871, P R China;
2.
SKLTR, Peking University, Beijing 100871, P R China

Received Date: 2000-05-08
Rev Recd Date: 2000-11-26
Publish Date: 2001-03-15

Abstract

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.
- trial function method,
- nonlinear PDE,
- shock wave solution,
- solitary wave solution

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References(13)

References

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