Abstract
The mathematical discipline known today as the Lie group analysis, was originated in 1870s by an outstanding mathematician of the 19th century, Sophus Lie (1842–1899).
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References
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S. Lie. Über die Integration durch bestimmte Integrale von einer Klasse linearer partieller Differentialgleichungen. Archiv for Matematik, og Naturvidenskab (Abbr. Arch. for Math.), 6, Heft 3:328–368, 1881. English transl., CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 2: Applications in Engineering and Physical Sciences, ed. N.H. Ibragimov, CRC Press, Boca Roton, 1995. Reprinted also in the book Lie group analysis: Classical heritage, ed. N.H. Ibragimov, ALGA Publications, Karlskrona, 2004, pp. 1–64.
S. Lie. Vorlesungen über Differentialgleichungen mit bekannten infinitesimalen Transformationen. (Bearbeited und herausgegeben von Dr. G. Scheffers), B. G. Teubner, Leipzig, 1891.
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(2009). Lie Group Analysis in Outline. In: Approximate and Renormgroup Symmetries. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00228-1_1
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DOI: https://doi.org/10.1007/978-3-642-00228-1_1
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