4.1 Article

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

Journal

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
Volume 12, Issue 3, Pages 287-324

Publisher

SPRINGER
DOI: 10.1007/s11040-009-9062-2

Keywords

Riemann-Hilbert problem; KdV equation; Solitons

Funding

  1. Austrian Science Fund (FWF) [Y330]
  2. Austrian Science Fund (FWF) [Y 330] Funding Source: researchfish

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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.

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