In addition to the reduction method, we present a novel application of Jacobi's last multiplier for finding Lie symmetries of ordinary differential equations algorithmically. These methods and Lie symmetries allow unveiling the hidden linearity of certain nonlinear equations that are relevant in physics. We consider the Einstein-Yang Mills equations and Calogero's many-body problem in the plane as examples.
NUCCI, M.C. (2007). Jacobi last multiplier, Lie symmetries, and hidden linearity: "goldfishes" galore. THEORETICAL AND MATHEMATICAL PHYSICS, 151(3), 851-862 [10.1007/s11232-007-0070-8].
Jacobi last multiplier, Lie symmetries, and hidden linearity: "goldfishes" galore
NUCCI, Maria Clara
2007
Abstract
In addition to the reduction method, we present a novel application of Jacobi's last multiplier for finding Lie symmetries of ordinary differential equations algorithmically. These methods and Lie symmetries allow unveiling the hidden linearity of certain nonlinear equations that are relevant in physics. We consider the Einstein-Yang Mills equations and Calogero's many-body problem in the plane as examples.File in questo prodotto:
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