A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results

Luiz G. Farah, Felipe Linares, Ademir Pastor

We consider the generalized two-dimensional Zakharov-Kuznetsov equation $u_t+{\partial }_x\Delta u+{\partial }_x(u^{k+1})=0$, where $k\ge 3$ is an integer number. For $k\ge 8$ we prove local…