Algebraic properties of Gardner's deformations for integrable systems
Exactly Solvable and Integrable Systems
2009-11-11 v3
Abstract
An algebraic definition of Gardner's deformations for completely integrable bi-Hamiltonian evolutionary systems is formulated. The proposed approach extends the class of deformable equations and yields new integrable evolutionary and hyperbolic Liouville-type systems. An exactly solvable two-component extension of the Liouville equation is found.
Keywords
Cite
@article{arxiv.nlin/0610072,
title = {Algebraic properties of Gardner's deformations for integrable systems},
author = {Arthemy V. Kiselev},
journal= {arXiv preprint arXiv:nlin/0610072},
year = {2009}
}
Comments
Proc. conf. "Nonlinear Physics: Theory and Experiment IV" (Gallipoli, 2006); Theor. Math. Phys. (2007) 151:3/152:1-2, 16p. (to appear)