Variable separation solutions for the (2+1)-dimensional breaking soliton equation

Abstract

With the variable separation approach and based on the general reduction theory, we successfully obtain the variable separation solutions for the (2+1)-dimensional breaking soliton equation using of the projective Riccati equation. Based on one of the variable separation solutions and by selecting appropriate functions, a new type of interaction between the multi-valued and the single-valued solitons, that is a compacton-like semi-foldon and a 4-compacton, is investigated. © 2006 Verlag der Zeitschrift für Naturforschung.