Long-Time Asymptotics for the Korteweg–de Vries Equation via Nonlinear Steepest Descent
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- Grunert, K. & Teschl, G. Math Phys Anal Geom (2009) 12: 287. doi:10.1007/s11040-009-9062-2
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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.