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Open AccessMathematicsPhysics

Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent

Katrin Grunert, Gerald Teschl

2008.7.31MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

DOI: 10.1007/s11040-009-9062-2

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.

Citation format

GRUNERT, Katrin; TESCHL, Gerald. Long-time asymptotics for the korteweg-de vries equation via nonlinear steepest descent [preprint]. arXiv, 2008. arXiv:0807.5041.