Group Analysis of Differential Equations and Integrable Systems − 2018


Maciej Nieszporski (Faculty of Physics, University of Warsaw, Poland)
Karol Trzeszczkowski (Faculty of Physics, University of Warsaw, Poland)

KdV equations on the honeycomb lattice

Abstract:
We will present integrable discretizations of Korteweg-de Vries equations. The classical discretizations are given on the square lattice, while the discretizations in question are given on honeycomb lattice. We will show some advantages of the honeycomb discretization over the classical one.