Classical and Quantum Integrability

On a ∂,∂― system with a large parameter.

5 sept. 2019, 09:45

45m

Amphi Paris

Morning Session

Orateur

Johannes Sjöstrand (Université de Bourgogne)

Description

This is part of a joint work with
Christian Klein and Nikola Stoilov. We consider a $2\times 2$ system of $\partial ,\bar{\partial }$ type in the large parameter limit, appearing in the study of the Davey-Stuartson II equation.

When a certain potential is smooth, we show that the solution is given by a convergent perturbation series.

When it is the characteristic function of a strictly convex domain, we analyze the leading term in the series. Numerical simulations show a fairly good coincidence with the full solution despite the lack of smoothness of the potential in this case.

Documents de présentation

190907.pdf