Multiple-scale analysis of dynamical systems on the lattice

DOI10.1016/j.jmaa.2010.09.053zbMath1228.39017OpenAlexW2003042029MaRDI QIDQ624579

Decio Levi, Piergiulio Tempesta

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.053

zbMATH Keywords

dynamical systemdiscrete systemdifference equationdiscrete nonlinear harmonic oscillatorfinite operator theorymultiple-scale expansion

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Cites Work

• On a discrete version of the Korteweg-de Vries equation
• Multi-scale expansions in the theory of systems integrable by the inverse scattering transform
• From divergent power series to analytic functions. Theory and application of multisummable power series
• Multiple-scale perturbation beyond the nonlinear Schrödinger equation. I
• Interpolation and approximation by polynomials
• A selected survey of umbral calculus
• Discretization of nonlinear evolution equations over associative function algebras
• On Appell sequences of polynomials of Bernoulli and Euler type
• Umbral calculus, difference equations and the discrete Schrödinger equation
• Continuous symmetries of difference equations
• Symmetries as integrability criteria for differential difference equations
• Nonlinear evolution equations, rescalings, model PDEs and their integrability: II
• Multiscale expansion of the lattice potential KdV equation on functions of an infinite slow-varyness order
• Multiscale analysis of discrete nonlinear evolution equations
• Nonlinear equations in soliton physics and operator ideals
• Umbral calculus, discretization, and quantum mechanics on a lattice
• Multiple-scale analysis of discrete nonlinear partial difference equations: the reduction of the lattice potential KdV
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