Long-time asymptotics for the derivative nonlinear Schr\"odinger equation on the half-line
Exactly Solvable and Integrable Systems
2017-08-24 v2 Analysis of PDEs
Abstract
We derive asymptotic formulas for the solution of the derivative nonlinear Schr\"odinger equation on the half-line under the assumption that the initial and boundary values lie in the Schwartz class. The formulas clearly show the effect of the boundary on the solution. The approach is based on a nonlinear steepest descent analysis of an associated Riemann-Hilbert problem.
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Cite
@article{arxiv.1702.02084,
title = {Long-time asymptotics for the derivative nonlinear Schr\"odinger equation on the half-line},
author = {L. K. Arruda and J. Lenells},
journal= {arXiv preprint arXiv:1702.02084},
year = {2017}
}
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29 pages