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 wit...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant 61072145the Scientific Research Project of Beijing Educational Committee(SQKM201211232016)Beijing Excellent Talent Training Project(2013D005007000003)
基金Supported by the Natural Science Foundation of Shandong Province under Grant Nos.Q2005A01 and Y2007G64
文摘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.