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physics.flu-dyn2003★ 12 cited
Fractional Fourier approximations for potential gravity waves on deep water
Vasyl P. Lukomsky, Ivan S. Gandzha
In the framework of the canonical model of hydrodynamics, where fluid is assumed to be ideal and incompressible, waves are potential, two-dimensional, and symmetric, the authors ha…
physics.flu-dyn2001★ 19 cited
Steep sharp-crested gravity waves on deep water
Vasyl' Lukomsky, Ivan Gandzha, Dmytro Lukomsky
A new type of steady steep two-dimensional irrotational symmetric periodic gravity waves on inviscid incompressible fluid of infinite depth is revealed. We demonstrate that these w…