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)

Abstract:
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.

Keywords:
DAVEY-STEWARTSON II EQUATION, LINE SOLITONS, LUMPS