Speaker
Nikola Stoilov
( Institut de Mathématiques de Bourgogne)
Description
In this work we look at the behaviour of solutions to the Zakharov Kuznetsov (ZK) equations, using advanced numerical tools. ZK is a nonlinear dispersive PDE and can be seen as a generalisation of
the KdV, however it is not integrable. We demonstrate how the behaviour of its solutions exhibits its dispersive PDE’s nature and will look at blow-up, soliton resolution and soliton interaction and discuss how the non-integrability transpires in these cases. We propose several conjectures for the long term behaviour.
Based on joint works with Christian Klein and Svetlana Roudenko.
Primary author
Nikola Stoilov
( Institut de Mathématiques de Bourgogne)
