Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models

Details Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models

2002-12-02

arxiv.org/abs/nlin/0212004v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 20 pages, 2 figures, v3, final version to be published in J. Math Phys

Scientific paper

A unifying scheme based on an ancestor model is proposed for generating a wide range of integrable discrete and continuum as well as inhomogeneous and hybrid models. They include in particular discrete versions of sine-Gordon, Landau-Lifshitz, nonlinear Schr\"odinger (NLS), derivative NLS equations, Liouville model, (non-)relativistic Toda chain, Ablowitz-Ladik model etc. Our scheme introduces the possibility of building a novel class of integrable hybrid systems including multi-component models like massive Thirring, discrete self trapping, two-mode derivative NLS by combining different descendant models. We also construct inhomogeneous systems like Gaudin model including new ones like variable mass sine-Gordon, variable coefficient NLS, Ablowitz-Ladik, Toda chains etc. keeping their flows isospectral, as opposed to the standard approach. All our models are generated from the same ancestor Lax operator (or its q -> 1 limit) and satisfy the classical Yang-Baxter equation sharing the same r-matrix. This reveals an inherent universality in these diverse systems, which become explicit at their action-angle level.

Affiliated with

Also associated with

No associations

Rating

Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models 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 Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unifying scheme for generating discrete integrable systems including inhomogeneous and hybrid models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602688