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- W1967496670 abstract "Within the framework of Lie group analysis of differential equations, a theorem is determined stating necessary and sufficient conditions allowing one to recover an invertible point transformation mapping a general dynamical system described by nonhomogeneous and nonautonomous first order quasilinear partial differential equations to homogeneous and autonomous form. The proof of the theorem is constructive and the new independent and dependent variables are obtained by determining the canonical variables associated to a suitable subalgebra of the Lie algebra of point symmetries admitted by the source system. The theorem is applied by considering some examples of physical interest arising from different contexts." @default.
- W1967496670 created "2016-06-24" @default.
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- W1967496670 date "2012-01-01" @default.
- W1967496670 modified "2023-09-24" @default.
- W1967496670 title "General dynamical systems described by first order quasilinear PDEs reducible to homogeneous and autonomous form" @default.
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- W1967496670 doi "https://doi.org/10.1016/j.ijnonlinmec.2011.08.012" @default.
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