Abstract
In this chapter we will explicitly construct general solutions for a number of concrete two-dimensional classical nonlinear systems of the type (3.1.4) associated with finite-dimensional Lie algebras. Moreover, in the cases where the one-dimensional (or parametric) solutions are important in applications we perform the necessary reduction.
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© 1992 Springer Basel AG
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Leznov, A.N., Saveliev, M.V. (1992). Integration of nonlinear dynamical systems associated with finite-dimensional Lie algebras. In: Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems. Progress in Physics, vol 15. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8638-3_4
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DOI: https://doi.org/10.1007/978-3-0348-8638-3_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9709-9
Online ISBN: 978-3-0348-8638-3
eBook Packages: Springer Book Archive