Differential invariants of a one-parameter group of local transformations and integrable Riccati equations (Q2780479)
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scientific article; zbMATH DE number 1728980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential invariants of a one-parameter group of local transformations and integrable Riccati equations |
scientific article; zbMATH DE number 1728980 |
Statements
14 May 2003
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invariants of vector field
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Riccati equations
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0.89370346
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0.8878546
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0.8841379
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0.8840211
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Differential invariants of a one-parameter group of local transformations and integrable Riccati equations (English)
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In \(\mathbb{R}\times \mathbb{R}^m\) an operator \(Q\) (vector field) possesses a set of independent invariants \(I^1, I^2,\dots, I^m\) (universal invariant) and a primitive of unity \(J\), \(QJ= 1\). Using \((I,J)\) as coordinates, the solution of differential equations, for example Riccati equations, is simplified.
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