GENERALIZATION TO CYLINDRICAL COORDINATE SYSTEM FOR THE HIGHER ORDER KDV AND KP EQUATION

Two new model equations which we call a higher order cylindrical KdV equation and a higher order cylindrical KP equation are proposed when we consider the 2-dimensional modulation of water waves with surface tension in cylindrical coordinate system. Some exact (2+1)-dimensional solitary wave solutions have been obtained by relating them to the higher order KdV equation through an appropriate variable transformation.