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Stäckel representations of stationary Kdv systems.
- Source :
-
Reports on Mathematical Physics . Dec2023, Vol. 92 Issue 3, p323-346. 24p. - Publication Year :
- 2023
-
Abstract
- In this article we study Stäckel representations of stationary KdV systems. Using Lax formalism we prove that these systems have two different representations as separable Stäckel systems of Benenti type, related with different foliations of the stationary manifold. We do it by constructing an explicit transformation between the jet coordinates of stationary KdV systems and separation variables of the corresponding Benenti systems for arbitrary number of degrees of freedom. Moreover, on the stationary manifold, we present the explicit form of Miura map between both representations of stationary KdV systems, which also yields their bi-Hamiltonian formulation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FOLIATIONS (Mathematics)
*SEPARATION of variables
*NUMBER systems
Subjects
Details
- Language :
- English
- ISSN :
- 00344877
- Volume :
- 92
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Reports on Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 174529844
- Full Text :
- https://doi.org/10.1016/S0034-4877(23)00083-6