Soliton resonance and web structure in the Davey-Stewartson system

We write down and characterize a large class of nonsingular multi-soliton solutions of the defocusing Davey-Stewartson II equation. In particular we study their asymptotics at space infinities as well as their interaction patterns in the xy-plane, and we identify several subclasses of solutions. Many of these solutions describe phenomena of soliton resonance and web structure. We identify a subclass of solutions that is the analogue of the soliton solutions of the Kadomtsev-Petviashvili II equation. In addition to this subclass, however, we show that more general solutions exist, describing phenomena that have no counterpart in the Kadomtsev-Petviashvili equation, including V-shape solutions and soliton reconnection.