4 papers
Isoperiodic deformations of Abelian differentials of the second kind over elliptic curves and the Boussinesq equation
Vladimir DragoviÄ, Vasilisa Shramchenko
We study deformations of a genus one Riemann surface and of a second order Abelian differential on the surface which preserve the periods of the differential with respect to a chos…
Heavy rigid body with a gyroscope in
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmet…
Deformations of the Hill curves and isoperiodicity in the KdV and the sine-Gordon equations
Vladimir Dragovic, Vasilisa Shramchenko
We consider a family of genus hyperelliptic curves as double ramified coverings over the Riemann sphere with the set of branch points of the form $\{0, \infty, x_1, \dots, x_g,…
Integrability of homogeneous exact magnetic flows on spheres
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We consider motion of a material point placed in a constant homogeneous magnetic field in and also motion restricted to the sphere . While there is an obviou…