Special Session 190: Amplitude equations for continuous, discrete, non-local, and stochastic nonlinear dispersive and dissipative dynamical systems
A variational reduction for the full-dispersion Davey--Stewartson equation
Espen Xylander
Institute for analysis, dynamics and modeling, University of Stuttgart Germany
Co-Author(s):
Abstract:
In this talk, we discuss a method to derive the classical Davey--Stewartson equation from its full-dispersion counterpart. After a brief tour of the relevant parameter regimes, we prove an approximation result for the energy functionals associated with the equations, based on a Lyapunov--Schmidt-type reduction. We then touch upon some existence results.