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Multiscale reductions and integrability on the lattice

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Discrete Integrable Systems

We consider the classification up to a Mbius transformation of multilinear real integrable partial difference equations with dispersion defined on a square lattice by the multiscale reduction around their harmonic solution. We show that the A1, A2, and A3 integrability conditions constrain the number of parameters in the equation. The A4 integrability conditions provide no further constrain suggesting that the obtained equations be integrable.

This talk is part of the Isaac Newton Institute Seminar Series series.

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