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

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.

31 pages

References in corpus (2)

• Long-Time Asymptotics for the Toda Lattice in the Soliton Region
• Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

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