Non-linearity and self-similarity: Patterns and clusters

Document Type

Article

Publication Date

8-1-2001

Abstract

We introduce a qualitative similarity analysis, which yields relations between the geometry and kinematics of traveling localized solutions, associated to certain non-linear equations. This method predicts the existence of solitons, compactons, dublets, triplets, as well as other non-linear patterns. A finit supported wavelet-like frame is constructed in terms of compacton kink-antikink (KAK) solutions. © 2001 IMACS. Published by Elsevier Science. All rights reserved.

Publication Source (Journal or Book title)

Mathematics and Computers in Simulation

First Page

533

Last Page

540

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