fraktaler

Jens Wittsten: Quantization conditions for semiclassical Zakharov-Shabat systems on the circle

Välkommen till en föreläsning i seminarieserien i matematik.

Föreläsare/Lecturer

Jens Wittsten

Titel/Title

Quantization conditions for semiclassical Zakharov-Shabat systems on the circle

Sammanfattning/Abstract

I will talk about the asymptotic distribution of eigenvalues for a semiclassical non-self-adjoint Zakharov-Shabat operator on the circle. This operator appears in the Lax pair representation when treating the focusing nonlinear Schrödinger equation via the inverse scattering method. The distribution of eigenvalues is described using Bohr-Sommerfeld type quantization conditions. To obtain these conditions we use the exact WKB method, which involves a convergent resummation of the WKB asymptotic expansion in a turning-point-free complex region. This is joint work with Setsuro Fujiie.

Seminarieserien

Seminariet är en del av den seminarieserie som forskningsämnet matematik arrangerar regelbundet, med såväl inbjudna som egna forskare. Här kan du se hela seminarieserien.

Rum D1172, hus D, Växjö Joachim Toft Lägg till i din kalender