The Strict AKNS Hierarchy: Its Structure and Solutions

Open Access
Authors
Publication date 2016
Journal Advances in Mathematical Physics
Article number 3649205
Volume | Issue number 2016
Number of pages 10
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
  • Faculty of Science (FNWI)
Abstract 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.
Document type Article
Language English
Published at https://doi.org/10.1155/2016/3649205
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