Darboux Covariant Equations of von Neumann Type and their Generalizations
Exactly Solvable and Integrable Systems
2016-09-08 v2 Quantum Physics
Abstract
Lax pairs with operator valued coefficients, which are explicitly connected by means of an additional condition, are considered. This condition is proved to be covariant with respect to the Darboux transformation of a general form. Nonlinear equations arising from the compatibility condition of the Lax pairs in the matrix case include, in particular, Nahm equations, Volterra, Bogoyavlenskii and Toda lattices. The examples of another one-, two- and multi-field lattice equations are also presented.
Keywords
Cite
@article{arxiv.nlin/0205061,
title = {Darboux Covariant Equations of von Neumann Type and their Generalizations},
author = {Jan L. Cieslinski and Marek Czachor and Nikolai V. Ustinov},
journal= {arXiv preprint arXiv:nlin/0205061},
year = {2016}
}
Comments
18 pages, LaTeX, revised version