The Application Of G’/G-expansion For(2+1)Dimensional KP Equation

Based on the homogeneous balance method and the principle of use G’/G-expansion method, I have studied the (2+1)-dimensional KP equation.(ut+6uux+uxxx)x+3δ2uyy=0, Hereu=u(x,y,t) is a scalar function,x and y are respectively the longitudinal and transverse spatial coordinates, subscripts x,y,t denote partial derivatives, and δ2=±1.The case δ=1is named as the KPⅡ equation, and models, for example, water waves with small surface tension. The case δ=i is named as the KPI equation, and may be used to model waves in thin films with high surface tension. I have got new exact solutions. These new exact solutions make us understand better the KP equation of understanding.