Long-Time Asymptotics for the Camassa-Holm Equation

Aleksey Kostenko; Anne Boutet de Monvel; Dmitry Shepelsky; Gerald Teschl

arxiv: 0902.0391 · v2 · submitted 2009-02-02 · 🌊 nlin.SI · math-ph· math.AP· math.MP

Long-Time Asymptotics for the Camassa-Holm Equation

Anne Boutet de Monvel , Aleksey Kostenko , Dmitry Shepelsky , Gerald Teschl This is my paper

classification 🌊 nlin.SI math-phmath.APmath.MP

keywords asymptoticscamassa-holmequationlong-timeapplyboutetcompletingcompute

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We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Boutet de Monvel and D. Shepelsky.

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Long-Time Asymptotics for the Camassa-Holm Equation

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