Physics – Fluid Dynamics
Scientific paper
2000-03-26
Physica D {\bf 123} (1998) 82
Physics
Fluid Dynamics
14 pages RevTex, 5 figures in ps
Scientific paper
10.1016/S0167-2789(98)00113-4
Localized patterns and nonlinear oscillation formation on the bounded free surface of an ideal incompressible liquid are analytically investigated . Cnoidal modes, solitons and compactons, as traveling non-axially symmetric shapes are discused. A finite-difference differential generalized Korteweg-de Vries equation is shown to describe the three-dimensional motion of the fluid surface and the limit of long and shallow channels one reobtains the well known KdV equation. A tentative expansion formula for the representation of the general solution of a nonlinear equation, for given initial condition is introduced on a graphical-algebraic basis. The model is useful in multilayer fluid dynamics, cluster formation, and nuclear physics since, up to an overall scale, these systems display liquid free surface behavior.
Draayer Jerry P.
Ludu Andrei
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