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Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent

Published 11 Jan 2017 in nlin.SI, math-ph, and math.MP | (1701.02867v2)

Abstract: We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice with steplike initial data corresponding to a rarefaction wave.

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