Long-time asymptotics for the Degasperis-Procesi equation on the half-line
Analysis of PDEs
2018-01-15 v2 Exactly Solvable and Integrable Systems
Abstract
We analyze the long-time asymptotics for the Degasperis--Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated -matrix valued Riemann--Hilbert problem, we find an explicit formula for the leading order asymptotics of the solution in the similarity region in terms of the initial and boundary values.
Cite
@article{arxiv.1508.04097,
title = {Long-time asymptotics for the Degasperis-Procesi equation on the half-line},
author = {A. Boutet de Monvel and J. Lenells and D. Shepelsky},
journal= {arXiv preprint arXiv:1508.04097},
year = {2018}
}
Comments
61 pages, 11 figures