Hamiltonian long–wave expansions for water waves over a rough bottom

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On a new non-local formulation of water waves (2006, methodology): “In the case of a variable bottom the series expansion for the Dirichlet–Neumann map presented in Craig et al. (2005) is implicit.”
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation (2009, methodology): “When ε and β are small, it is possible to make a Taylor expansion of Gμ[εζ, βb]ψ with respect to ε and β; such an expansion has been derived for one dimensional surfaces in [37]; this method could be generalized to two dimensional surfaces, but we chose here to use another technique based on the fol”
Hamiltonian long‐wave expansions for free surfaces and interfaces (2005, background): “The approach can also be applied in principle to systems with bottom topography (see [12]) and consisting of multiple layers of immiscible fluids separated by sharp free interfaces, with possibly one free surface lying over the region occupied by the fluid.”