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Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2010/12/28
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
Separation of variables for symplectic characters
Separation of variables symplectic characters
2010/12/6
We perform separation of variables for the symplectic Weyl character using Sklyanin’s scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitlyconstruct the separa...
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
Separation of variables explicit theta-function solution
2010/4/6
The paper revises the explicit integration of the classical Steklov--Lyapunov systems via separation of variables, which was first made by F. K\"otter in 1900, but was not well understood until recent...