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paper

Long-Time Asymptotics for the Korteweg-de Vries Equation with Steplike Initial Data

arXiv:1210.7434 · doi:10.1088/0951-7715/26/7/1839

Abstract

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation with steplike initial data.

27 pages, 1 figure