A Note on the Transformation of Variables of KP Equation, Cylindrical KP Equation and Spherical KP Equation

摘要

In a recent article (Commun. Theor. Phys. 67 (2017) 207), three (2+1)-dimensional equations - KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same KdV equation by using different transformation of variables, respectively. In this short note, by adding an adjustment item to original transformation, three more general transformation of variables corresponding to above three equations have been given. Substituting the solutions of the KdV equation into our transformation of variables, more new exact solutions of the three (2+1)-dimensional equations can be obtained.