Stackel transform of Lax equations
| Autor: | Krzysztof Marciniak, Maciej Błaszak |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Integrable system
Beräkningsmatematik Applied Mathematics completely integrable systems Hamiltonian systems Lax representation Stackel systems Stackel transform 010102 general mathematics Representation (systemics) Computational mathematics Construct (python library) 01 natural sciences 010305 fluids & plasmas Hamiltonian system Algebra Computational Mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences 0101 mathematics Mathematics |
| Popis: | We construct a map between Lax equations for pairs of Liouville integrable Hamiltonian systems related by a multiparameter Stackel transform. Using this map, we construct Lax representation for a wide class of separable systems by applying the multiparameter Stackel transform to Lax equations of suitably chosen systems from a seed class. For a given separable system, we obtain in this way a set of nonequivalent Lax equations parameterized by an arbitrary function of the spectral parameter, as it is in the case of a related seed system. |
| Databáze: | OpenAIRE |
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