Non-linearity and self-similarity: Patterns and clusters
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
Ludu, A., & Draayer, J. (2001). Non-linearity and self-similarity: Patterns and clusters. Mathematics and Computers in Simulation, 55 (4-6), 533-540. https://doi.org/10.1016/S0378-4754(00)00295-0