Abstract
Abstract
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.
Funder
Secretaría de Estado de Investigación, Desarrollo e Innovación
Consolidated group of the Basque Government
Subject
General Physics and Astronomy
Cited by
1 articles.
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