Backlund transformations for integrable lattice equations

Details Backlund transformations for integrable lattice equations Backlund transformations for integrable lattice equations

2008-01-14

arxiv.org/abs/0801.1998v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

10.1088/1751-8113/41/13/135202

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.

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