On the integrability of the generalized Yang-Mills system

• Autorzy: A. Lesfari , A. Elachab
• Języki publikacji: EN

Abstrakty

EN

We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.

Kategorie tematyczne

• 70H05: Hamilton's equations
• 70H06: Completely integrable systems and methods of integration
• 14H70: Relationships with integrable systems
• 14H40: Jacobians, Prym varieties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 3
• Strony: 345-351

Daty

wydano

2004

Twórcy

autor

A. Lesfari

• Department of Mathematics, Faculty of Sciences, University of Chouaïb Doukkali, B.P. 20, El-Jadida, Morocco

autor

A. Elachab

• Department of Mathematics, Faculty of Sciences, University of Chouaïb Doukkali, B.P. 20, El-Jadida, Morocco.

Identyfikatory

DOI

10.4064/am31-3-8