On the Coherent Structures of (2+1)-Dimensional Breaking Soliton Equation

Abstract

A variable separation approach is used to obtain exact solutions of high dimensional nonlinear physical models. Taking the breaking soliton equation as a simplify example, we show that a high dimensional nonlinear physical model may have quite rich localized coherent structures. For the breaking soliton equation, the richness of the localized structures caused by the entrance of some variables separated arbitrary functions. Some special types of the dromion solutions, lumps, ring solitons, curved solitons and breathers solution etc. are discussed by selecting the arbitrary functions appropriately.