Discrete Contin. Dyn. Syst. 38, No. 4. (2018)

Rarefaction waves for the Toda equation via Nonlinear Steepest Descent

I. Egorova, J. Michor, and G. Teschl

Keywords: Toda equation, Riemann{Hilbert problem, steplike, rarefaction.

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.

MSC: Primary 37K40, 35Q53; Secondary 37K45, 35Q15

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