  We formulate the stochastic differential equations for non-linear
hydrodynamic fluctuations. The equations incorporate the random forces through
a random stress tensor and random heat flux as in the Landau and Lifshitz
theory. However, the equations are non-linear and the random forces are
non-Gaussian. We provide explicit expressions for these random quantities in
terms of the well-defined increments of the Wienner process.
