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

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

2008-07-31

arxiv.org/abs/0807.5041v2

Math. Phys. Anal. Geom. 12, 287-324 (2009)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

31 pages

Scientific paper

10.1007/s11040-009-9062-2

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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