Continuous changes of variables and the Magnus expansion
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comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
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Continuous changes of variables and the Magnus expansionData de publicació
2019-09-23Editor
IOPCita 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/articleVersió de l'editorial
https://iopscience.iop.org/article/10.1088/2399-6528/ab42c1/metaVersió
info:eu-repo/semantics/publishedVersionParaules 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
info:eu-repo/semantics/openAccess
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