Hamiltonian reduction from 3D two-layer Euler fluids produces a 2D KBK-B model with critical parameters and a Dirac-reduced Hamiltonian structure for the KP equation.
D., Hamiltonian long-wave approximations to the water-wave problem, Wave Motion19(1994), 367–389
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Two-layer sharply stratified Euler fluids in three dimensions: a Hamiltonian setting
Hamiltonian reduction from 3D two-layer Euler fluids produces a 2D KBK-B model with critical parameters and a Dirac-reduced Hamiltonian structure for the KP equation.