A.S. Fokas, D.E. Pelinovsky and C. Sulem
Interaction of lumps with a line soliton for the DSII equation
Physica D 152-153, 189-198 (2001)
Exact solutions of the focussing Davey-Stewartson II equation
are presented, which describe the interaction of N-lumps with
a line soliton. These solutions are constructed by analysing
the inverse spectral problem of the associated Lax pair.
The dynamical properties of these solutions are also discussed.
DAVEY-STEWARTSON II EQUATION, LINE SOLITONS, LUMPS