  Linear fluctuating hydrodynamics is a useful and versatile tool for
describing fluids, as well as other systems with conserved fields, on a
mesoscopic scale. In one spatial dimension, however, transport is anomalous,
which requires to develop a nonlinear extension of fluctuating hydrodynamics.
The relevant nonlinearity turns out to be the quadratic part of the Euler
currents when expanding relative to a uniform background. We outline the theory
and compare with recent molecular dynamics simulations.
