Dromion and other exact solutions of (2+1)-dimensional dispersive long water equations

Abstract

Abstract Using homogenous balance method we obtain Backlund transformation (BT) and a linear partial differential equation of (2+1)-dimensional dispersive long water equations (DLWE). As a result, multisoliton and single soliton and other exact solutions of (2+1)-dimensional DLWE are obtained. By analyzing single soliton solution, we get some dromions solutions. This method, which can be generalized to some (2+1)-dimensional nonlinear evolution equations, is simple and powerful.