High order multiscale analysis of discrete integrable equationsArticleAuthors: Rafael Hernandez Heredero
1; Decio Levi
2; Christian Scimiterna
3
0000-0002-6387-1378##NULL##NULL
Rafael Hernandez Heredero;Decio Levi;Christian Scimiterna
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.
Volume: Special Issue in Memory of Decio Levi
Published on: February 15, 2024
Accepted on: October 6, 2023
Submitted on: August 2, 2023
Keywords: PACS: 02.30.Ks, 02.30.Ik, 02.30.MvMSC 4E13, 37K10, 39A14, 93B18, [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [en] Multiple Scale, Integrable Difference Equations