4.5 Article

RAREFACTION WAVES FOR THE TODA EQUATION VIA NONLINEAR STEEPEST DESCENT

Journal

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 38, Issue 4, Pages 2007-2028

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2018081

Keywords

Toda equation; Riemann-Hilbert problem; steplike; rarefaction

Funding

  1. Faculty of Mathematics at the University of Vienna
  2. Austrian Science Fund (FWF) [V120] Funding Source: Austrian Science Fund (FWF)

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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.

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