# Classical and Quantum Integrability

2-6 September 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

## On a $\partial, \overline{\partial }$ system with a large parameter.

5 Sep 2019, 09:45
45m
Amphi Paris ()

### Speaker

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 $\partial ,\overline{\partial }$ 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.

### Primary author

Johannes Sjöstrand (Université de Bourgogne)