Long-time Asymptotics for the Camassa–Holm Equation

2009221 citationsJournal Articlegreen Open Access

Authors

Anne Boutet de Monvel · Institute of Applied Mathematics and Mechanics

Aleksey Kostenko · B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Dmitry Shepelsky · Institute of Applied Mathematics and Mechanics

Gerald Teschl · B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

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 Boutet de Monvel and Shepelsky.

Topics & Keywords

Nonlinear Waves and Solitons Nonlinear Photonic Systems Algebraic structures and combinatorial models

Publication Details

Published in: SIAM Journal on Mathematical Analysis

Volume 41, Issue 4, pp. 1559-1588

DOI: 10.1137/090748500

Field-Weighted Citation Impact: 3.66

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Long-time Asymptotics for the Camassa–Holm Equation

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Abstract

Topics & Keywords

Publication Details