Discrete Contin. Dyn. Syst. (to appear)

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.

MSC2000: 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)