Backlund transformations for integrable lattice equations
arXiv:0801.1998 · doi:10.1088/1751-8113/41/13/135202
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.
9 pages