Long-time Asymptotics for the Camassa-Holm Equation

@article{Monvel2009LongtimeAF,
title={Long-time Asymptotics for the Camassa-Holm Equation},
author={Anne Boutet de Monvel and Aleksey Kostenko and Dmitry Shepelsky and Gerald Teschl},
journal={SIAM J. Math. Analysis},
year={2009},
volume={41},
pages={1559-1588}
}

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