Linear degree growth in lattice equations
Exactly Solvable and Integrable Systems
2017-02-28 v1
Abstract
We conjecture recurrence relations satisfied by the degrees of some linearizable lattice equations. This helps to prove linear growth of these equations. We then use these recurrences to search for lattice equations that have linear growth and hence are linearizable.
Cite
@article{arxiv.1702.08295,
title = {Linear degree growth in lattice equations},
author = {Dinh T Tran and John A G Roberts},
journal= {arXiv preprint arXiv:1702.08295},
year = {2017}
}