• Corpus ID: 221397410

Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings

@article{Caudrelier2020IntegrableBC,
  title={Integrable boundary conditions for quad equations, open boundary reductions and integrable mappings},
  author={Vincent Caudrelier and Peter H. van der Kamp and Cheng Zhang},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
In the context of integrable partial difference equations on quad-graphs, we introduce the notion of open boundary reductions as a new means to construct discrete integrable mappings and their invariants. This represents an alternative to the well-known periodic reductions. The construction deals with well-posed initial value problems for quad equations on quad-graphs restricted to a strip. It relies on the so-called double-row monodromy matrix and gives rise to integrable mappings. To obtain… 

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