Lax Representations for Separable Systems from Benenti Class
Copyright policy )Lax Representations for Separable Systems from Benenti Class
In this paper we construct Lax pairs for St��ckel systems with separation curves from so-called Benenti class. For each system of considered family we present an infinite family of Lax representations, parameterized by smooth functions of spectral parameter.
- Polish Academy of Sciences Poland
- Institute of Mathematics Viet Nam
- Poznań University of Technology Poland
- Adam Mickiewicz University in Poznań Poland
- Institute of Mathematics Poland
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Lax representation, FOS: Physical sciences, Mathematical Physics (math-ph), Stäckel system, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Hamiltonian mechanics, Exactly Solvable and Integrable Systems (nlin.SI), Benenti system, Mathematical Physics
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Lax representation, FOS: Physical sciences, Mathematical Physics (math-ph), Stäckel system, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Hamiltonian mechanics, Exactly Solvable and Integrable Systems (nlin.SI), Benenti system, Mathematical Physics
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