Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice

Authors

  • A. Kh. Khanmamedov

Abstract

Using the inverse scattering transform, we investigate an initial boundary-value problem with zero boundary condition for the Toda lattice. We prove the existence and uniqueness of a rapidly decreasing solution and determine a class of initial data that guarantees the existence of a rapidly decreasing solution.

Published

25.08.2005

Issue

Section

Short communications

How to Cite

Khanmamedov, A. Kh. “Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice”. Ukrains’kyi Matematychnyi Zhurnal, vol. 57, no. 8, Aug. 2005, pp. 1144 – 1152, https://umj.imath.kiev.ua/index.php/umj/article/view/3673.