Resonant Interactions betweenY-Periodic Soliton and Algebraic Soliton: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion

There are two types of singular interactions between algebraic soliton and y -periodic soliton (i.e. the array of the localized structures in the y -direction, which propagates in the x -direction): one is the resonant interaction where the algebraic soliton joins in the line of y -periodic soliton after collision, while the other is the extremely repulsive interaction where the algebraic soliton affects the motion of the y -periodic soliton infinitely apart. Both interactions are associated with the boundary between attractive interaction and repulsive one in the parameter space.