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math-ph2002
Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations
A. Ludu, A. R. Ionescu
We generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitar…
math-ph2002
Multi-scale Analysis of Nonlinear Equations
A. Ludu, R. F. O'Connell, J. P. Draayer
We use a multi-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose…