Discrete Dubrovin Equations and Separation of Variables for Discrete Systems

Details Discrete Dubrovin Equations and Separation of Variables for Discrete Systems Discrete Dubrovin Equations and Separation of Variables for Discrete Systems

1999-07-15

arxiv.org/abs/solv-int/9907015v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Talk presented at the Intl. Conf. on ``Integrability and Chaos in Discrete Systems'', July 2-6, 1997, to appear in: Chaos, Sol

Scientific paper

A universal system of difference equations associated with a hyperelliptic curve is derived constituting the discrete analogue of the Dubrovin equations arising in the theory of finite-gap integration. The parametrisation of the solutions in terms of Abelian functions of Kleinian type (i.e. the higher-genus analogues of the Weierstrass elliptic functions) is discussed as well as the connections with the method of separation of variables.

Affiliated with

Also associated with

No associations

Rating

Discrete Dubrovin Equations and Separation of Variables for Discrete Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete Dubrovin Equations and Separation of Variables for Discrete Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Dubrovin Equations and Separation of Variables for Discrete Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92593