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Article Dans Une Revue Open Communications in Nonlinear Mathematical Physics Année : 2024

High order multiscale analysis of discrete integrable equations

Résumé

In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions given by the multiple scale expansion give rise to 4 nonlinear equations, 3 of which seem to be new, depending at most on 2 parameters.
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Dates et versions

hal-04173064 , version 1 (01-08-2023)
hal-04173064 , version 2 (25-01-2024)
hal-04173064 , version 3 (26-01-2024)

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Rafael Hernandez Heredero, Decio Levi, Christian Scimiterna. High order multiscale analysis of discrete integrable equations. Open Communications in Nonlinear Mathematical Physics, 2024, Special Issue in Memory of Decio Levi, ⟨10.46298/ocnmp.11690⟩. ⟨hal-04173064v3⟩

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