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- W3084738347 abstract "This work is devoted to perform symmetry reductions of a third-order partial differential equation belonging to a wide class which models many real-world phenomena. In particular, many third-order partial differential equations of this class appear in different macroscopic models for semiconductors, which consider quantum effects, for instance, quantum hydrodynamic models; or models for the transmission of electrical lines, among others. The symmetry group of the considered equation has been determined. We prove that this group constitutes a three-dimensional solvable Lie group which allows us to reduce the equation to a first-order nonlinear ODE. Furthermore, a solution of the equation is determined by quadrature in a particular case." @default.
- W3084738347 created "2020-09-21" @default.
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- W3084738347 date "2020-01-01" @default.
- W3084738347 modified "2023-10-16" @default.
- W3084738347 title "On Symmetry Reductions of a Third-Order Partial Differential Equation" @default.
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- W3084738347 doi "https://doi.org/10.1007/978-3-030-44101-2_21" @default.
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