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Multi-scale Analysis of Nonlinear Equations

2002/01/18 by Andrei Ludu, A. Ludu, R. F. O’Connell +5
Mathematics · Physics and Astronomy · #34A34 #34G20 #35Q51 #35Q53 #35Q55 #Advanced Optimization Algorithms Research #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:34A34 #msc:34G20 #msc:35Q51 #msc:35Q53 #msc:35Q55

paper · pdf · doi:10.48550/arxiv.math-ph/0201043

12 Pages, latex, To be published in Int. J. Comp. Math. Sim

arxiv created 2002/01/18 · openalex publication_date 2002/01/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 exact solutions are generally difficult to obtain.

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