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Dynamics of non‐linear wave equations
Author(s) -
Todorova Grozdena
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.563
Subject(s) - mathematics , dynamics (music) , instability , stability (learning theory) , standing wave , energy (signal processing) , state (computer science) , ground state , mathematical analysis , classical mechanics , physics , mechanics , quantum mechanics , computer science , statistics , algorithm , machine learning , acoustics
We present several stability/instability results for the ground‐state standing waves and high‐energy‐bound‐state standing waves for the NLKG, NLS and NLDW equations. At the end of the paper we present a number of open problems. Copyright © 2004 John Wiley & Sons, Ltd.
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