Quasi-Lie schemes: theory and applications

Details Quasi-Lie schemes: theory and applications Quasi-Lie schemes: theory and applications

2008-10-07

arxiv.org/abs/0810.1160v2

J. Phys. A: Math. Theor. 42 (2009), 335206

Physics

Mathematical Physics

24 pages, major changes in the presentation - the version to be published in J. Phys. A: Math. Theor

Scientific paper

10.1088/1751-8113/42/33/335206

A powerful method for solving non-linear first-order ordinary differential equations, which is based on geometrical understanding of the corresponding dynamics of the so called Lie systems, is developed. This method allows us not only to solve some of these equations, but also gives a geometrical explanations for some, already known, ad hoc methods of dealing with such problems.

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