On various solutions of the coupled KP equation

Abstract

The coupled KP (cKP) equation possesses N-soliton solutions with many more degrees of freedom than the solitons for the usual KP equation have. In comparison, cKP solutions can therefore be expected to model far more complex interactions than their KP counterparts. In this paper we present some typical solutions for the cKP system (and for some of its reductions: a complex coupled KdV equation and a coupled Boussinesq equation) and we analyse their interaction and asymptotic properties.