0000000001037440

AUTHOR

S. Rauchwojciechowski

showing 1 related works from this author

Stationary problems for equation of the KdV type and dynamical r-matrices

1995

We study a quite general family of dynamical $r$-matrices for an auxiliary loop algebra ${\cal L}({su(2)})$ related to restricted flows for equations of the KdV type. This underlying $r$-matrix structure allows to reconstruct Lax representations and to find variables of separation for a wide set of the integrable natural Hamiltonian systems. As an example, we discuss the Henon-Heiles system and a quartic system of two degrees of freedom in detail.

PhysicsHigh Energy Physics - TheoryLoop algebraIntegrable systemStructure (category theory)FOS: Physical sciencesStatistical and Nonlinear PhysicsType (model theory)Hamiltonian systemSet (abstract data type)Nonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Quartic functionKorteweg–de Vries equationMathematical PhysicsMathematical physics
researchProduct