First integrals and Hamiltonians of some classes of ODEs of maximal symmetry (Q670448)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: First integrals and Hamiltonians of some classes of ODEs of maximal symmetry |
scientific article; zbMATH DE number 7037486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First integrals and Hamiltonians of some classes of ODEs of maximal symmetry |
scientific article; zbMATH DE number 7037486 |
Statements
First integrals and Hamiltonians of some classes of ODEs of maximal symmetry (English)
0 references
18 March 2019
0 references
Summary: Complete sets of linearly independent first integrals are found for the most general form of linear equations of maximal symmetry algebra of order ranging from two to eight. The corresponding Hamiltonian systems are constructed and it is shown that their general solutions can also be found by a simple superposition formula from the solutions of a scalar second-order source equation.
0 references
0 references
0 references
0 references
0.92417777
0 references
0.9075315
0 references
0.9046348
0 references
0.90051675
0 references
0.89628327
0 references
0.8949038
0 references
0.88854504
0 references
0.8873166
0 references
0 references
