Solitons with and without propagating behaviors in Broer–Kaup system via an object reduction approach

Using an object reduction approach (a special conditional reduction approach), new types of variable separation solutions with arbitrary functions in a (2 + 1)-dimensional Broer–Kaup system are obtained. In terms of the derived variable separation solutions, abundant nonpropagating and propagating solitons such as dromions, rings, peakons and compactons etc. are revealed by prescribing appropriate functions in this paper.