Dromion like structures in the (2+1)-dimensional breaking soliton equation

Abstract

The existence of exponentially localized structures in a (2+1)-dimensional breaking soliton equation is studied here. A singularity structure analysis of the (2+1)-dimensional breaking soliton equation is carried out and it is shown that it admits the Painleve property for a specific parametric choice. Hirota's bilinear form of the corresponding P-type equation is generated from the Painleve analysis in a straightforward manner. The bilinear form is then used to show that the variable ∫^x_-∞u_ydx' (modulo a boundary term) admits exponentially localized solutions rather than the physical field u(x,y,t) itself.