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Non-linearity and self-similarity: patterns and clusters

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  • Ludu, A.
  • Draayer, J.P.

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.

Suggested Citation

  • Ludu, A. & Draayer, J.P., 2001. "Non-linearity and self-similarity: patterns and clusters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 533-540.
    • Handle: RePEc:eee:matcom:v:55:y:2001:i:4:p:533-540
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