The strict AKNS hierarchy: its structure and solutions
Exactly Solvable and Integrable Systems
2017-08-24 v1
Abstract
In this paper we discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of than that in the AKNS-case and whose Lax equations are based on a different decomposition of this loop space. We show the compatibility of these Lax equations and that they are equivalent to a set of zero curvature relations. We present a linearization of the system and conclude by giving a wide construction of solutions of this hierarchy.
Keywords
Cite
@article{arxiv.1708.06841,
title = {The strict AKNS hierarchy: its structure and solutions},
author = {Gerard Helminck},
journal= {arXiv preprint arXiv:1708.06841},
year = {2017}
}
Comments
10 pages