NUMERICAL SOLUTION OF THE SMALL DISPERSION LIMIT OF THE CAMASSA-HOLM AND WHITHAM EQUATIONS AND MULTISCALE EXPANSIONS

The small dispersion limit of solutions to the Camassa-Holm (CH) equation is characterized by the appearance of a zone of rapid modulated oscillations. An asymptotic description of these oscillations is given, for short times, by the one-phase solution to the CH equation, where the branch points of...

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Veröffentlicht in:	SIAM journal on applied mathematics 2010-01, Vol.70 (7/8), p.2797-2821
Hauptverfasser:	ABENDA, S., GRAVA, T., KLEIN, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic methods Asymptotic properties Asymptotic value Boundaries Cauchy problem Correlation coefficients Dispersions Elliptic functions Error rates Leading edges Linear regression Mathematical analysis Mathematical models Oscillations Oscillators Phase shift Regression analysis Standard deviation Studies Trailing edges Waves
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