Non-linearity and self-similarity: patterns and clusters

A. Ludu and J.P. Draayer

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 4, 533-540

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.

Date: 2001
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