Long-time asymptotic behavior for the discrete defocusing mKdV equation

Abstract

In this article, we apply Deift-Zhou nonlinear steepest descent method to analyze the long-time asymptotic behavior of the solution for the discrete defocusing mKdV equation. This equation was proposed by Ablowitz and Ladik.

arXiv comment45 pages

References in corpus (3)

• Long-Time Asymptotics for the Camassa-Holm Equation
• Long-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent
• Long-Time Asymptotics of the Toda Lattice for Decaying Initial Data Revisited

Cited by in corpus (2)

• $L^2$ Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz-Ladik systems
• Asymptotics for small data solutions of the Ablowitz-Ladik equation