James Atkinson 2008 J. Phys. A: Math. Theor. 41 135202 doi:10.1088/1751-8113/41/13/135202
Bäcklund transformations for integrable lattice equations
James Atkinson
Show affiliationsWe give new Bäcklund 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 Bäcklund parameter), whilst some pairs of apparently distinct equations admit a BT which connects them.
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Issue 13 (4 April 2008)
Received 14 January 2008, in final form 21 February 2008
Published 14 March 2008
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Bäcklund transformations for integrable lattice equations
James Atkinson 2008 J. Phys. A: Math. Theor. 41 135202
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