Backlund transformations for integrable lattice equations
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
We give new Backlund transformations (BTs) for some known integrable (in the sense of being multidimensionally consistent) quadrilateral lattice equations. As opposed to the natural auto-BT inherent in every such equation, these BTs are of two other kinds. Specifically, it is found that some equations admit additional auto-BTs (with Backlund parameter), whilst some pairs of apparently distinct equations admit a BT which connects them.
Cite
@article{arxiv.0801.1998,
title = {Backlund transformations for integrable lattice equations},
author = {James Atkinson},
journal= {arXiv preprint arXiv:0801.1998},
year = {2009}
}
Comments
9 pages