BIFURCATIONS OF SOLITONS IN MULTIDIMENSIONS

The authors consider the W-soliton solution of the Davey-Stewartson equation. It describes N localized bell shaped objects interacting without changing shape and velocity. The only effect of the interaction is a shift in the position and a shift in the phase. However, at some values of the parameters the asymptotic behaviour of the solution bifurcates. The structurally unstable solutions describe coherent localized objects that during the interaction change shape without exchanging energy and coherent localized objects that change shape and exchange energy.