  In this paper, we consider a stochastic nonlinear formulation of classical
coastal waves models under location uncertainty (LU). In the formal setting
investigated here, stochastic versions of the Serre-Green- Nagdi, Boussinesq
and classical shallow water wave models are obtained through an asymptotic
expansion, which is similar to the one operated in the deterministic setting.
However, modified advection terms emerge, together with advection noise terms.
These terms are well-known features arising from the LU formalism, based on
momentum conservation principle.
