Explicit Solutions of (2+1)-Dimensional Canonical Generalized KP, KdV, and (2+1)-Dimensional Burgers Equations with Variable Coefficients

摘要

In this paper,using the generalized(G'/G)-expansion method and the auxiliary differential equationmethod,we discuss the(2+1)-dimensional canonical generalized KP(CGKP),KdV,and(2+1)-dimensional Burgersequations with variable coefficients.Many exact solutions of the equations are obtained in terms of elliptic functions,hyperbolic functions,trigonometric functions,and rational functions.