Integrable non-abelization of the flow on an elliptic curve
V. Sokolov, T. Wolf
TL;DR
This paper introduces a new integrable non-abelian extension of a Hamiltonian flow on an elliptic curve, providing a Lax pair formulation for the system.
Contribution
It presents the first integrable non-abelian generalization of the elliptic curve flow and derives its Lax pair representation.
Findings
Established the integrability of the non-abelian system
Derived the Lax pair for the new system
Extended the understanding of Hamiltonian flows on elliptic curves
Abstract
An integrable non-abelian generalization of a Hamiltonian flow on an elliptic curve is presented. A Lax pair for this non-abelian system is found.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems