Title: On the semiclassical limit of the defocusing Davey-Stewartson II equation
Inverse scattering is the most powerful tool in theory of integrable systems. Starting in the
late sixties resounding great progress was made in (1+1) dimensional problems with many
break-through results as on soliton interactions. Naturally the attention in recent years turns
towards higher dimensional problems as the Davey-Stewartson equations, an integrable
generalisation of the (1 + 1)-dimensional cubic nonlinear Schrödinger equation. Here we will
consider the direct spectral transform for the defocusing Davey-Stewartson II equation for
smooth initial data in the semi-classical limit, which is well known in quantum mechanics.