Functional Representation of the Ablowitz – Ladik Hierarchy . II

@inproceedings{Industriales2002FunctionalRO,
title={Functional Representation of the Ablowitz – Ladik Hierarchy . II},
author={E. T. S. I. Industriales},
year={2002}
}

E. T. S. I. Industriales

Published 2002

In this paper we continue studies of the functional representation of the Ablowitz– Ladik hierarchy (ALH). Using formal series solutions of the zero-curvature condition we rederive the functional equations for the tau-functions of the ALH and obtain some new equations which provide more straightforward description of the ALH and which were absent in our previous paper. These results are used to establish relations between the ALH and the discrete-time nonlinear Schrödinger equations, to deduce… CONTINUE READING