Non-Abelian evolution systems with conservation laws

Abstract

We find noncommutative analogs for well-known polynomial evolution systems with higher conservation laws and symmetries. The integrability of obtained non-Abelian systems is justified by explicit zero curvature representations with spectral parameter.

21 pages second version: few minor typos corrected

References in corpus (1)

• Quantisation ideals of nonabelian integrable systems

Cited by in corpus (5)

• Painlevé type reductions for the non-Abelian Volterra lattices
• On matrix Painlevé II equations
• Classification of Hamiltonian non-abelian Painlevé type systems
• Discrete Lax pairs and hierarchies of integrable difference systems
• Differential substitutions for non-Abelian equations of KdV type