Y. Watanabe et M. Tajiri, PERIODIC SOLITON RESONANCE - SOLUTIONS TO THE DAVEY-STEWARTSON-I EQUATION, Journal of the Physical Society of Japan, 67(3), 1998, pp. 705-708
The two y-periodic solitons solution (i.e. the arrays of the localized
structure in the y-direction) to the Davey-Stewartson I equation is a
nalyzed to show that the soliton resonance exists between them. There
are two types of singular interactions: one is the resonant interactio
n where two y-periodic solitons interact so as to make a new y-periodi
c soliton while the other is the extremely long-range interaction wher
e two solitons interchange with each other, infinitely apart.