New localized coherent structures to the (2+1)-dimensional breaking soliton equation

Abstract

Starting from the standard truncated Painlevé expansion, by making use of the variable separation procedure, a general variable separation solution of the (2+1)-dimensional breaking soliton system is derived. Two classes of novel localized coherent structures like both multi-peakon–antipeakon solution and multi-compacton–anticompacton solution are found by selecting appropriate functions. These new structures exhibit some novel interaction features which are different from one of the known results.