On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy

Abstract

We show that for decaying solutions of the Ablowitz-Ladik system, the leading asymptotic term is time independent. In addition, two arbitrary bounded solutions of the Ablowitz-Ladik system which are asymptotically close at the initial time stay close. All results are also derived for the associated hierarchy.

9 pages

References in corpus (2)

• Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
• On the Spatial Asymptotics of Solutions of the Toda Lattice

Cited by in corpus (1)

• Solutions of matrix NLS systems and their discretisations: A unified treatment