| Abstract: |
| Whitham modulation theory for Zakharov-Kuznetsov (ZK) equation is presented. A system of four quasilinear first-order partial differential equations is derived. The system describes modulations of the periodic traveling wave solutions of the ZK equation. The system is then transformed to a hydrodynamic ZK-Whitham system, which is used to study stability properties of traveling wave solutions of the ZK equation. The results are validated by comparison with numerical simulations. |
|