  We study the BS model, which is a one-dimensional lattice field theory taking
real values. Its dynamics is governed by coupled differential equations plus
random nearest neighbor exchanges. The BS model has exactly two locally
conserved fields. Through numerical simulations the peak structure of the
steady state space-time correlations is determined and compared with nonlinear
fluctuating hydrodynamics, which predicts a traveling peak with KPZ scaling
function and a standing peak with a scaling function given by the completely
asymmetric Levy distribution with parameter $\alpha = 5/3$. As a by-product, we
completely classify the universality classes for two coupled stochastic Burgers
equations with arbitrary coupling coefficients.
