(partial derivative)over-bar-DRESSING METHOD FOR A FEW (2+1)-DIMENSIONAL INTEGRABLE COUPLING SYSTEMS

摘要

Several (2 + 1)-dimensional integrable coupling systems are derived from two sets of auxiliary linear problems, including the integrable coupling system of a (2+ 1)-dimensional generalization of the dispersive long-wave system, and a (2 + 1)-dimensional generalizations of the Burgers equation and the Davey-Stewartson system. We use the (partial derivative) over bar -dressing method to investigate these integrable coupling systems and obtain some exact solutions by solving the coupled (partial derivative) over bar -problem that we introduce. The methods and techniques presented in this paper may be good inspiration for dealing with similar problems and the corresponding integrable coupling systems.