High order multiscale analysis of discrete integrable equations-Reference-Cited by-同舟云学术

High order multiscale analysis of discrete integrable equations

Published:2024-02-15 Issue: Volume:Special Issue in Memory of... Page:
ISSN:2802-9356
Container-title:Open Communications in Nonlinear Mathematical Physics
language:en
Short-container-title:

Author:

Hernandez Heredero Rafael¹^ORCID,Levi Decio²,Scimiterna Christian³

Affiliation:

1. Universidad Politécnica de Madrid

2. Università degli Studi Roma Tre = Roma Tre University

3. Istituto di Istruzione Superiore Sansi-Leonardi-Volta, Spoleto

Abstract

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.

Publisher

Centre pour la Communication Scientifique Directe (CCSD)

Link

https://ocnmp.episciences.org/12945/pdf

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