On the Linearization of Second-Order Differential and Difference Equations

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dc.creatorDorodnitsyn, Vladimir
dc.date2006-08-16
dc.date.accessioned2026-07-07T09:34:40Z
dc.date.available2026-07-07T09:34:40Z
dc.descriptionThis article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian formalism and Noether-type integration technique. It turned out that there exist nonlinear superposition principles for solutions of special second-order ordinary difference equations which possess Lie group symmetries. This superposition springs from the linearization of second-order ordinary difference equations by means of non-point transformations which act simultaneously on equations and meshes. These transformations become some sort of contact transformations in the continuous limit.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0608038
dc.identifierhttp://arxiv.org/abs/nlin/0608038
dc.identifierSIGMA 2 (2006), 065, 15 pages
dc.identifierdoi:10.3842/SIGMA.2006.065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159574
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleOn the Linearization of Second-Order Differential and Difference Equations
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