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Remarks on the full dispersion Kadomtsev-Petviashvli equation

Remarks on the full dispersion Kadomtsev-Petviashvli equation

We consider in this paper the Full Dispersion Kadomtsev-Petviashvili Equation (FDKP) introduced in [19] in order to overcome some shortcomings of the classical KP equation. We investigate its mathematical properties, emphasizing the differences with the Kadomtsev-Petviashvili equation and their relevance to the approximation of water waves. We also present some …