Geometric interpretation of the recursion operators for the generalized Zakharov-Shabat system in pole gauge on the Lie algebra \(A_2\)

zbMATH Open1235.35238MaRDI QIDQ649527

Alexander B. Yanovski

Publication date: 1 December 2011

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasoliton equationsZakharov-Shabat systemPoisson-Nijenhuis structure

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (3)

Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties ⋮ Alexandar Borissov Yanovski ⋮ CBC Systems with Mikhailov Reductions by Coxeter Automorphism: I. Spectral Theory of the Recursion Operators

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