Cyclic Bases of Zero-Curvature Representations: Five Illustrations to One Concept

2002/12/08 by S. Yu. Sakovich · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #math-ph #math.AP #math.MP #nlin.SI

paper · pdf · doi:10.1023/b:acap.0000035589.61486.a7

published as Acta Appl. Math. 83 (2004) 69-83 · 18 pages

arxiv created 2002/12/08 · openalex publication_date 2004/07/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The paper contains five examples of using cyclic bases of zero-curvature representations in studies of weak and strong Lax pairs, hierarchies of evolution systems, and recursion operators.

Cited by

• Enlarged spectral problems and nonintegrability
• The Short Pulse Equation Is Integrable
• On the characteristic form of \mathfrakg-valued zero-curvature representations

Related

• Cyclic bases of zero-curvature representations: further examples
• Discrete zero curvature representations and infinitely many conservation laws for several 2+1 dimensional lattice hierarchies
• Conformal blocks in genus zero and the KZ connection
• Non-Commutative Geometry and Cyclic Homology
• Cyclic Representations of U_q(\mathfraksl₂) and its Borel Subalgebras at Roots of Unity and Q-operators