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math-ph2002
Analysis and classification of nonlinear dispersive evolution equations in the potential representation
A. U. Eichmann, J. P. Draayer, A. Ludu
A potential representation for the subset of traveling solutions of nonlinear dispersive evolution equations is introduced. The procedure involves a reduction of a third order part…
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…