Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Wavelets generated by Riesz potentials of KdV solitons

Wavelets generated by Riesz potentials of KdV solitons In recent years the study of wavelets gained much popularity among mathematicians and applied scientists. It firmly established itself in the field of series and integral expansions and signal processing and led to new and interesting applications. Our interest in this article stems from finding a completely new representative of wavelets, the one coming from the fractional derivative of Korteweg–de Vries solitons. More precisely, we mean by this Riesz fractional derivatives of the well-known KdV solitons. The Riesz fractional derivative and its conjugate are given via the Hilbert transform. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Wavelets generated by Riesz potentials of KdV solitons

Analysis and Mathematical Physics , Volume 2 (4) – Oct 25, 2012

Loading next page...
 
/lp/springer-journals/wavelets-generated-by-riesz-potentials-of-kdv-solitons-lE5yFDYCgv
Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Basel
Subject
Mathematics; Mathematical Methods in Physics; Analysis
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-012-0049-y
Publisher site
See Article on Publisher Site

Abstract

In recent years the study of wavelets gained much popularity among mathematicians and applied scientists. It firmly established itself in the field of series and integral expansions and signal processing and led to new and interesting applications. Our interest in this article stems from finding a completely new representative of wavelets, the one coming from the fractional derivative of Korteweg–de Vries solitons. More precisely, we mean by this Riesz fractional derivatives of the well-known KdV solitons. The Riesz fractional derivative and its conjugate are given via the Hilbert transform.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Oct 25, 2012

References