On the integrability of a new lattice equation found by multiple scale analysis

2014/01/22 by Christian Scimiterna, C. Scimiterna, Mike Hay +2 · 22 citations
Computer Science · Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Lattice (music) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Polynomial and algebraic computation #Quantum mechanics #Scale (ratio) #Scale analysis (mathematics) #Statistical physics #Thermodynamics #math-ph #math.MP #msc:34J10 #msc:37K10 #msc:39A14 #nlin.SI

paper · pdf · doi:10.1088/1751-8113/47/26/265204

published in Journal of Physics A Mathematical and Theoretical 47(26), 265204 (Institute of Physics)

arxiv created 2014/01/22 · openalex publication_date 2014/06/17 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we discuss the integrability properties of a nonlinear partial difference equation on the square obtained by the multiple scale integrability test from a class of multilinear dispersive equations defined on a four-point lattice.

Citations

• On a nonlinear integrable difference equation on the square 3D-inconsistent

Cited by

• Peculiar symmetry structure of some known discrete nonautonomous equations