Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

Abstract

The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent.

41 pages

References in corpus (1)

• Stability of Periodic Soliton Equations under Short Range Perturbations

Cited by in corpus (6)

• Long-Time Asymptotics for the Camassa-Holm Equation
• Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
• Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds
• The Robin problem for the nonlinear Schrödinger equation on the half-line
• Lieb-Robinson Bounds for the Toda Lattice
• $L^2$ Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz-Ladik systems