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Hamiltonian formulation and integrability of a complex symmetric nonlinear system
Rossen I. Ivanov
The integrability of a complex generalisation of the 'elegant' system, proposed by D. Fairlie and its relation to the Nahm equation and the Manakov top is discussed.
Haunted Kaluza Universe with Four-dimensional Lorentzian Flat, Kerr, and Taub-NUT Slices
Rossen I. Ivanov, Emil M. Prodanov
The duality between the original Kaluza's theory and Klein's subsequent modification is duality between slicing and threading decomposition of the five-dimensional spacetime. The f…
Conformal Properties and Baecklund Transform for the Associated Camassa-Holm Equation
Rossen I. Ivanov
Integrable equations exhibit interesting conformal properties and can be written in terms of the so-called conformal invariants. The most basic and important example is the KdV equ…
Pseudo-Newtonian Potential for Charged Particle in Kerr-Newman Geometry
Rossen I. Ivanov, Emil M. Prodanov
We consider the equatorial circular motion of a test particle of specific charge q/m << 1 in the Kerr-Newman geometry of a rotating charged black hole. We find the particle's conse…