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physics.flu-dyn2000★ 84 cited
Patterns on liquid surfaces: cnoidal waves, compactons and scaling
Andrei Ludu, Jerry P. Draayer
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incompressible liquid are analytically investigated . Cnoidal modes, solitons and com…
physics.flu-dyn2000★ 56 cited
Nonlinear Modes of Liquid Drops as Solitary Waves
Andrei Ludu, Jerry P. Draayer
The nolinear hydrodynamic equations of the surface of a liquid drop are shown to be directly connected to Korteweg de Vries (KdV, MKdV) systems, giving traveling solutions that are…