Long-Time Asymptotics for the Camassa-Holm Equation

Details Long-Time Asymptotics for the Camassa-Holm Equation Long-Time Asymptotics for the Camassa-Holm Equation

2009-02-02

arxiv.org/abs/0902.0391v2

SIAM J. Math. Anal. 41:4, 1559-1588 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

30 pages

Scientific paper

10.1137/090748500

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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