Exact Solutions And Analysis Of Two Classes Of Generalized(2+1)-Dimensional KP Equations

In recent years,with the rapid development of society,there are many problems in the fields of chemistry,engineering mechanics,economics and so no that are described by nonlinear partial differential equations.Therefore,solving nonlinear partial differential equations has become an important part of nonlinear scientific research,and it has important theoretical and practical significance.In this paper,we use the G'/G-expansion method and the first integral method to study the exact solutions of two generalized(2+1)-dimensional KP equations.Firstly,the generalized(2+1)-dimensional BKP equation is considered by the G'/G-expansion method and the first integral method.After careful analysis of the value of parameters m and n,the exact solutions of the equation in several parameters conditions are obtained,which include the rational function solutions,hyperbolic function solutions and periodic function solutions.After that,the generalized(2+1)-dimensional KP-BBM equations is considered by using the G'/G-expansion method,the improved G'/G-expansion method and the first integral method.In the applications of the G'/G-expansion method and the first integral method,the relationship between parameters m and n is discussed first,and then the exact solutions of the equation under conditions of m+1>n,m+1=n or others are obtained.When using the improved G'/G-expansion method,the rational function solutions of the equation are mainly obtained under the condition of the parameter m+1?n.Finally,with the help of the mathematics software Matlab,the images of several exact solutions are obtained.