Application For KP Equation Of The Method Of Complete Discrimination System For Polynomial

In this paper,we obtain the classification of traveling wave solutions to the generalized KP equation and KP-MEW equation by the method of complete discrimination system for polynomial.In chapter 1,using the method of complete discrimination system for polynomial,we can obtain some exact solutions to the generalized KP equation.Those solutions can be expressed by the elliptic functions,the logarithm functions,trigonometric functions and rational functions respectively.If we take the parameters as special values,we can realize wave propagation to the generalized KP equation explicitly.In chapter 2,using the method of complete discrimination system for polynomial,we can obtain classification and representations of some exact solutions to KP-MEW equation.