FISSION AND FUSION IN THE NEW LOCALIZED STRUCTURES TO THE INTEGRABLE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP SYSTEM By

By means of the Weiss-Tabor-Carnevale truncation method and the general variable separation approach, analytical investigation of the integrable (2+1)dimensional higher order Broer-Kaup system shows, due to the possibility of selecting three arbitrary functions, the existence of interacting coherent excitations such as dromions, solitons, periodic solitons etc... The interaction between some of the localized solutions are elastic, because they pass through each other and preserve their shapes and velocities, the only change being the phase shift. However, as for some soliton models, completely non-elastic interactions have been found in this model. These non-elastic interactions are characterized by the fact that, at a specific time, one soliton may fission to two or more solitons; or on contrarily, two or more solitons will fuse to one soliton.