Corpus ID: 119510546

Integrable non-abelization of the flow on an elliptic curve

@article{Sokolov2018IntegrableNO,
  title={Integrable non-abelization of the flow on an elliptic curve},
  author={Vladimir Vyacheslavovich Sokolov and Thomas Wolf},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2018}
}
  • V. Sokolov, T. Wolf
  • Published 9 September 2018
  • Physics
  • arXiv: Exactly Solvable and Integrable Systems
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. 

Tables from this paper

References

SHOWING 1-3 OF 3 REFERENCES
Bi-Hamiltonian ODEs with matrix variables
We consider a special class of linear and quadratic Poisson brackets related to ODE systems with matrix variables. We investigate general properties of such brackets, present an example of aExpand
Integrable ODEs on Associative Algebras
Abstract: In this paper we give definitions of basic concepts such as symmetries, first integrals, Hamiltonian and recursion operators suitable for ordinary differential equations on associativeExpand