Katrin Grunert and Gerald Teschl
Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
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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.