A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties

Abstract

A new direct approach to determining a class of solutions, including the dromion solutions, of the Davey-Stewartson equations is presented. The form of solution obtained allows a detailed asymptotic analysis of the dromion solutions and compact expression for the phase shifts and changes of amplitude as a result of interaction of the dromions to be determined. A class of solutions describing dromion scattering is discussed and computer plots of the interactions of such solutions are presented.