M. Tajiri et al., RESONANT INTERACTIONS BETWEEN Y-PERIODIC SOLITON AND ALGEBRAIC SOLITON - SOLUTIONS TO THE KADOMTSEV-PETVIASHVILI EQUATION WITH POSITIVE DISPERSION, Journal of the Physical Society of Japan, 61(3), 1992, pp. 783-790
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 res
onant interaction where the algebraic soliton joins in the line of y-p
eriodic soliton after collision, while the other is the extremely repu
lsive interaction where the algebraic soliton affects the motion of th
e y-periodic soliton infinitely apart. Both interactions are associate
d with the boundary between attractive interaction and repulsive one i
n the parameter space.