A note on the well-posedness in the energy space for the generalized ZK equation posed on $\mathbb{R}\times \mathbb{T}$

Luiz Gustavo Farah, Luc Molinet

In this note, we prove the local well-posedness in the energy space of the $k$-generalized Zakharov-Kuznetsov equation posed on $ \R\times \T $ for any power non-linearity $ k\ge 2…