The Strict AKNS Hierarchy: Its Structure and Solutions

G. F. Helminck

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

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 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.

Date: 2016
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https://doi.org/10.1155/2016/3649205

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:3649205

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