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.