Hyperelliptic KP solution, genus 2

Hyperelliptic KP solution, genus 2

Almost periodic solutions to the KP equation can be obtained in terms of multi-dimensional theta functions on arbitrary compact Riemann surfaces, see [nlin/0512066] for more information and references. The video shows a periodic solution on a hyperelliptic surface of genus 2.

J. Frauendiener and C. Klein