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A modified mapping method is used to obtain variable separation solutions with two arbitrary functions of the (2+1)-dimensional modified dispersive water-wave system. Based on the variable separation solution and by selecting appropriate functions, we discuss interaction behaviours among special anti-solitons constructed by multi-valued functions. The analysis results exhibit that the interaction behaviours among special anti-dromion, dromion-like anti-peakon, and dromion-like anti-semifoldon are all non-completely elastic and phase shifts exist, while the interaction behaviour among dromionlike anti-semifoldons is completely elastic and without phase shifts.

Interaction Behaviours Among Special Solitons in the (2+1)-Dimensional Modified Dispersive Water-Wave System