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.