首页 | 本学科首页   官方微博 | 高级检索  
     


On Integrability of the Kontsevich Non-Abelian ODE System
Authors:Thomas Wolf  Olga Efimovskaya
Affiliation:(1) Laboratoire de Math?matiques, Informatique et Applications, Universit? de Haute Alsace, Mulhouse, France
Abstract:We consider systems of ODEs with the right-hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary size. An important example of such a system was proposed by M. Kontsevich (private communication). We prove the integrability of the Kontsevich system by finding a Lax pair, corresponding first integrals and commuting flows. We also provide a pre-Hamiltonian operator which maps gradients of integrals for the Kontsevich system to symmetries.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号