Discrete Contin. Dyn. Syst. 38, 2007-2028 (2018) [DOI: 10.3934/dcds.2018081]

Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent

Iryna Egorova, Johanna Michor, and Gerald Teschl

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.

MSC2010: Primary 37K40, 35Q53; Secondary 37K45, 35Q15
Keywords: Toda equation, Riemann-Hilbert problem, steplike, rarefaction

TeX file [TodaRare1.pdf, TodaRare2.pdf] (72K) or pdf file (530K)