3 papers
math-ph2025
On compatible linear and quadratic Poisson brackets on
Andriy Panasyuk, Taras Skrypnyk
In the present paper, using two constant tensors and on satisfying certain linear-quadratic equation and a technique of Poisson bivectors and Schouten…
nlin.SI2025
Symmetric Separation of Variables for the Extended Clebsch and Manakov Models
Taras Skrypnyk
In the present paper, using a modification of the method of vector fields of the bi-Hamiltonian theory of separation of variables (SoV), we construct symmetric non-Stäckel v…
nlin.SI2025
Algebro-geometric integration of the Boussinesq hierarchy
Julia Bernatska, Taras Skrypnyk
We construct an integrable hierarchy of the Boussinesq equation using the Lie-algebraic approach of Holod-Flashka-Newell-Ratiu. We show that finite-gap hamiltonian systems of the h…