The strict AKNS hierarchy: its structure and solutions

DOI10.1155/2016/3649205zbMath1369.37073arXiv1708.06841OpenAlexW2514664139WikidataQ59122225 ScholiaQ59122225MaRDI QIDQ504697

Gerardus F. Helminck

Publication date: 17 January 2017

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06841

zbMATH Keywords

linearizationloop spaceintegrable hierarchyLax equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Loop groups and related constructions, group-theoretic treatment (22E67) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

An integrable hierarchy including the AKNS hierarchy and its strict version

Cites Work

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• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
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