Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces

Abstract

We analyze and compare the methods of construction of the recursion operators for a special class of integrable nonlinear differential equations related to A.III-type symmetric spaces in Cartan's classification and having additional reductions.

13 pages, 1 figure

References in corpus (4)

• Reduction Groups and Automorphic Lie Algebras
• Reductions of integrable equations. Dihedral group
• On the Classification of Automorphic Lie Algebras
• Lenard scheme for two dimensional periodic Volterra chain

Cited by in corpus (5)

• Nonlocal reductions of the Ablowitz-Ladik equation
• On nonlocal reductions of the multi-component nonlinear Schrodinger equation on symmetric spaces
• Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. II. Special Solutions
• The Generalised Zakharov-Shabat System and the Gauge Group Action
• Integrable systems on symmetric spaces from a quadratic pencil of Lax operators