Continuous changes of variables and the Magnus expansion

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Google Scholar Scholar | Altres documents de l'autoria: Casas, Fernando; Chartier, Philippe; Murua, AnderMicrosoft Academico
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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/173364

comunitat-uji-handle3:10234/173369

comunitat-uji-handle4:

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Metadades

Títol
Continuous changes of variables and the Magnus expansion
Autoria
 Casas, FernandoOrcidScopus;
 Chartier, PhilippeOrcid;
 Murua, Ander
Data de publicació
2019-09-23
Editor
IOP
URI
http://hdl.handle.net/10234/184902
DOI
https://doi.org/10.1088/2399-6528/ab42c1
Cita bibliogràfica
CASAS, Fernando; CHARTIER, Philippe; MURUA, Ander. Continuous changes of variables and the Magnus expansion. Journal of Physics Communications, 2019, 3.9: 095014.
Tipus de document
info:eu-repo/semantics/article
Versió de l'editorial
https://iopscience.iop.org/article/10.1088/2399-6528/ab42c1/meta
Versió
info:eu-repo/semantics/publishedVersion
Paraules clau / Matèries
Resum
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated ... [+]
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by operators. As an application of the simple formulas so-obtained, we explicitly compute the first terms of the Floquet-Magnus expansion for the Van der Pol oscillator and the nonlinear Schrödinger equation on the torus. [-]
Proyecto de investigación
Ministerio de Economía y Competitividad, Spain (project MTM2016-77660-P (AEI/FEDER, UE) ; Basque Government (consolidated group IT1294-19)
Drets d'accés
© 2019 The Author(s). Published by IOP Publishing Ltd.
info:eu-repo/semantics/openAccess
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© 2019 The Author(s). Published by IOP Publishing Ltd.
Except where otherwise noted, this item's license is described as © 2019 The Author(s). Published by IOP Publishing Ltd.