The Strict AKNS Hierarchy: Its Structure and Solutions

The Strict AKNS Hierarchy: Its Structure and Solutions

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 sl2 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 La...

Full description

Bibliographic Details
Main Author: G. F. Helminck
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/3649205
id doaj-71b89bea264947818f0ffd92a229547d
record_format Article
spelling doaj-71b89bea264947818f0ffd92a229547d2021-07-02T02:51:32ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/36492053649205The Strict AKNS Hierarchy: Its Structure and SolutionsG. F. Helminck0Korteweg-de Vries Institute, University of Amsterdam, P.O. Box 94248, 1090 GE Amsterdam, NetherlandsWe discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space of sl2 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.http://dx.doi.org/10.1155/2016/3649205
collection DOAJ
language English
format Article
sources DOAJ
author G. F. Helminck
spellingShingle G. F. Helminck
The Strict AKNS Hierarchy: Its Structure and Solutions
Advances in Mathematical Physics
author_facet G. F. Helminck
author_sort G. F. Helminck
title The Strict AKNS Hierarchy: Its Structure and Solutions
title_short The Strict AKNS Hierarchy: Its Structure and Solutions
title_full The Strict AKNS Hierarchy: Its Structure and Solutions
title_fullStr The Strict AKNS Hierarchy: Its Structure and Solutions
title_full_unstemmed The Strict AKNS Hierarchy: Its Structure and Solutions
title_sort strict akns hierarchy: its structure and solutions
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2016-01-01
description 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 sl2 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.
url http://dx.doi.org/10.1155/2016/3649205
work_keys_str_mv AT gfhelminck thestrictaknshierarchyitsstructureandsolutions
AT gfhelminck strictaknshierarchyitsstructureandsolutions
_version_ 1721342694240813056

Similar Items