High order multiscale analysis of discrete integrable equations

Autor: Rafael Hernandez Heredero, Decio Levi, Christian Scimiterna
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Open Communications in Nonlinear Mathematical Physics, Vol Special Issue in Memory of... (2024)
Druh dokumentu: article
ISSN: 2802-9356
DOI: 10.46298/ocnmp.11690
Popis: 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.
Databáze: Directory of Open Access Journals