Novel Soliton Interaction Behaviours in the (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov System

Basing on a modified Riccati equation method, the asymmetric Nizhnik-Novikov-Veselov system is investigated and two kind of variable separation solutions with three arbitrary functions are obtained. Selecting appropriate multi-valued functions in the variable separation solution, the interaction behaviours among special solitons, including special dromion-pair, dromion-pair peakon and dromion-pair semifoldon, are studied. The results demonstrate that interaction behaviours among special dromion-pair, dromion-pair peakon, dromion-pair semifoldon are all completely elastic.