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

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. Foundation item: the Key Project of National Natural Science Foundation of China (40035010); the Special Fund of National Science and Technology Department (Extraordinarily Serious Disaster) Biography: LIU Shi-kuo (1938-)