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.
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Research supported by the Austrian Science Fund (FWF) under grant no. Y330.
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Grunert, K., Teschl, G. Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent. Math Phys Anal Geom 12, 287–324 (2009). https://doi.org/10.1007/s11040-009-9062-2
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DOI: https://doi.org/10.1007/s11040-009-9062-2