Publication: Systems of second-order linear ODE’s with constant coefficients and their symmetries
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Publication Date
2011
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Elsevier
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Abstract
Starting from the study of the symmetries of systems of 4 second-order linear ODEs with constant real coefficients, we determine the dimension and generators of the symmetry
algebra for systems of n equations described by a diagonal Jordan canonical form. We further prove that some dimensions between the lower and upper bounds cannot be attained in the diagonal case, and classify the Levi factors of the symmetry algebras.
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Mahomed FM, Leach PGL. Symmetry Lie algebras of n-th order ordinary differential equations. J Math Anal Appl 1990;151:80–107.
Ibragimov NH, editor. CRC handbook of lie group analysis of differential equations. Boca Raton: CRC Press; 1993.
Dolan L. Kac–Moody algebras and exact solvability in hadronic physics. Phys Report 1984;109:1–94.
Wafo Soh C, Mahomed FM. Linearization criteria for a system of second-order ordinary differential equations. Int J NonLinear Mech 2001;36:671–7.
González López A. Symmetries of linear systems of second-order ordinary differential equations. J Math Phys 1988;29:1097–105.
Wafo Soh C. Symmetry breaking of systems of linear second-order differential equations with constant coefficients. Commun Nonlinear Sci Numer Simulat 2010;15:139–43.
Gorringe VM, Leach PGL. Lie point symmetries for systems of second-order linear differential equations. Quaest Math 1988;11:95–117.
Horn RA, Johnson ChR. Matrix analysis. Cambridge: Cambridge University Press; 1985.
Stephani H. Differentialgleichungen. Symmetrien und Lösungsmethoden. Heidelberg: Spektrum; 1993.
Barut AO, Raczka R. The theory of group representations and applications. Warsaw: PWN Polish Scientific Publishers; 1980.