Continuous changes of variables and the Magnus expansion
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Publication:6321946
DOI10.1088/2399-6528/AB42C1arXiv1907.05362MaRDI QIDQ6321946
Philippe Chartier, Fernando Casas, Ander Murua
Publication date: 11 July 2019
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 Schr"odinger equation on the torus.
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