Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
Exactly Solvable and Integrable Systems
2009-07-13 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation for decaying initial data in the soliton and similarity region. This paper can be viewed as an expository introduction to this method.
Keywords
Cite
@article{arxiv.0807.5041,
title = {Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent},
author = {Katrin Grunert and Gerald Teschl},
journal= {arXiv preprint arXiv:0807.5041},
year = {2009}
}
Comments
31 pages