Continuous changes of variables and the Magnus expansion
Mathematical Physics
2019-10-29 v1 Classical Analysis and ODEs
math.MP
Classical Physics
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.
Keywords
Cite
@article{arxiv.1907.05362,
title = {Continuous changes of variables and the Magnus expansion},
author = {Fernando Casas and Philippe Chartier and Ander Murua},
journal= {arXiv preprint arXiv:1907.05362},
year = {2019}
}
Comments
19 pages, 2 figures