  In this paper we transfer a small data global existence and scattering result
by Wang and Hudzik to the more general case of modulation spaces $M_{p,
q}^s(\mathbb{R}^d)$ where $q = 1$ and $s \geq 0$ or $q \in (1, \infty]$ and $s
> \frac{d}{q'}$ and to the nonlinear Schr\"odinger equation with higher order
anisotropic dispersion.
