Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
John Wiley & Sons
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Quasi-continuum models combined with Whitham analysis approximate rarefaction and dispersive shock waves in the discrete modified KdV equation and match numerical observations.
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Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics
Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
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Nonlinear dispersive waves in the discrete modified KdV equation
Quasi-continuum models combined with Whitham analysis approximate rarefaction and dispersive shock waves in the discrete modified KdV equation and match numerical observations.