Separation of Variables and Hamiltonian Formulation for the Ernst Equation
نویسندگان
چکیده
منابع مشابه
Separation of variables and Hamiltonian formulation for the Ernst equation.
It is shown that the vacuum Einstein equations for an arbitrary stationary axisymmetric space-time can be completely separated by re-formulating the Ernst equation and its associated linear system in terms of a non-autonomous Schlesinger-type dynamical system. The conformal factor of the metric coincides (up to some explicitly computable factor) with the τ -function of the Ernst equation in the...
متن کاملHamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation
The Ostrovsky equation is a model for gravity waves propagating down a channel under the influence of Coriolis force. This equation is a modification of the famous Korteweg-de Vries equation and is also Hamiltonian. However the Ostrovsky equation is not integrable and in this contribution we prove its nonintegrability. We also study local bifurcations of its solitary waves. MSC: 35Q35, 35Q53, 3...
متن کاملBi–Hamiltonian manifolds, quasi-bi-Hamiltonian systems and separation variables
We discuss from a bi-Hamiltonian point of view the Hamilton–Jacobi separability of a few dynamical systems. They are shown to admit, in their natural phase space, a quasi–bi– Hamiltonian formulation of Pfaffian type. This property allows us to straightforwardly recover a set of separation variables for the corresponding Hamilton–Jacobi equation.
متن کاملThe hamiltonian formulation of QCD in terms of angle variables
For the sake of eliminating gauge variant degrees of freedom we discuss the way to introduce angular variables in the hamiltonian formulation of QCD. On the basis of an analysis of Gauss’ law constraints a particular choice is made for the variable transformation from gauge fields to angular field variables. The resulting formulation is analogous to the one of Bars in terms of corner variables....
متن کاملHamiltonian Formulation for Synchrotron Oscillations and Sacherer's Integral Equation
Sacherer's integral equation, which is the basis of many works on bunched-beam instabilities, is derived from basic principles. Differences in the form of the equation appearing in previous work are analyzed. This involves critical analysis of the equations of synchrotron motion. The concept of coupling impedance is explained in connection with the time-domain concept of the wake field. The non...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.74.1272