Geometric theory of the recursion operators for the generalized Zakharov-Shabat system in pole gauge on the algebra \(\mathrm{sl}(n,\mathbb{C})\)

DOI10.3842/SIGMA.2012.087zbMath1291.35267arXiv1211.3803MaRDI QIDQ352400

Gaetano Vilasi, Alexandar Borissov Yanovski

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3803

zbMATH Keywords

recursion operatorsLax representationnijenhuis tensors

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51)

Related Items (4)

Nonlinear evolution equations related to Kac-Moody algebras $A_r^{(1)}$: spectral aspects ⋮ Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties ⋮ MKdV-Type of Equations Related to $$B^{(1)}_{2}$$ and $$A^{(2)}_{4}$$ ⋮ Integrable equations and recursion operators related to the affine Lie algebras Ar(1)

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