Resonance Y-shaped soliton and interaction solutions in the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation
Abstract
The (2+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equation is utilized to depict weakly dispersive waves propagating in the fluid mechanics. According to N-soliton solutions, resonance Y-shaped soliton and its interaction with other local wave solutions of the (2+1)-dimensional BKP equation are derived by introducing the constraint conditions. These types of hybrid soliton solutions exhibit the complex interaction phenomenon among resonance Y-shaped solitons, breather waves, line solitary waves and high-order lump waves. The dynamic behaviors of such interaction solutions are analyzed and illustrated.
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