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Stability of peakons
Author(s) -
Constantin Adrian,
Strauss Walter A.
Publication year - 2000
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(200005)53:5<603::aid-cpa3>3.0.co;2-l
Subject(s) - mathematics , stability (learning theory) , computer science , calculus (dental) , machine learning , medicine , dentistry
The peakons are peaked solitary wave solutions of a certain nonlinear dispersive equation that is a model in shallow water theory and the theory of hyperelastic rods. We give a very simple proof of the orbital stability of the peakons in the H 1 norm. © 2000 John Wiley & Sons, Inc.