Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence (Q757939)
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scientific article; zbMATH DE number 4194790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence |
scientific article; zbMATH DE number 4194790 |
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Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence (English)
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1988
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It is shown that the differential invariants obtained by E. Cartan's method of equivalence may be used for determination of the symmetry group of second-order ordinary differential equations. As applications the Duffing, Holmes-Rand and van der Pol equations (models of nonlinear oscillators), the Thomas-Fermi equation (atomic physics), Emden's equation (astrophysics) and Kidder's equation (gas dynamics) are considered.
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differential invariants
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symmetry
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second-order ordinary differential equations
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