Long-Time Asymptotics for the Camassa-Holm Equation

2009/02/28 by Anne Boutet de Monvel, Aleksey Kostenko, Dmitry Shepelsky +1 · 2 citations
Physics and Astronomy · Mathematics · #nlin.SI #math-ph #math.AP #math.MP

paper · pdf · doi:10.1137/090748500

published as SIAM J. Math. Anal. 41:4, 1559-1588 (2009) · 30 pages

arxiv created 2009/09/25 · arxiv updated 2009/12/01

Abstract

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.

Cited by

• Numerical inverse scattering transform for the coupled modified Korteweg-de Vries equation
• Camassa–Holm equation [wikipedia]

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