Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations

Abstract

In a recent article by Gravejat and Smets [7], it is built smooth solutions to the inviscid surface quasi-geostrophic equation that have the form of a traveling wave. In this article we work back on their construction to provide similar solutions to a more general class of quasi-geostrophic equation where the half-laplacian is replaced by any fractional laplacian.