Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 45, Issue 5, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8113/45/5/055213
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Funding
- National Natural Science Foundation of China [10971200]
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The H1 model in the Adler-Bobenko-Suris list, i.e. the lattice potential KdV equation and the closely related lattice KdV equation with Nijhoff's discretization, are investigated. A new Lax pair of the H1 model is given, by which integrable symplectic maps are constructed through a non-linearization procedure. Resorting to these maps, finite genus solutions of the H1 model as well as the lattice KdV equation are calculated.
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