49 citations · 105 across the 22 of their papers we have counts for
4 papers · 1 filter
Isoperiodic deformations of Toda curves and chains, the difference Korteweg - de Vries equation, and Seiberg-Witten theories
Vladimir Dragović, Vasilisa Shramchenko
We introduce the dynamics of Toda curves of order and derive differential equations governing this dynamics. We apply the obtained results to describe isoperiodic deformations…
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,…
Isoperiodic deformations of Abelian differentials of the second kind over elliptic curves and the Boussinesq equation
Vladimir Dragović, 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…
Triangular isomonodromic solutions to a Fuchsian system from superelliptic curves
Anwar Al Ghabra, Benjamin Piché, Vasilisa Shramchenko
We give fundamental solutions of arbitrarily sized matrix Fuchsian linear systems, in the case where the coefficients of the systems are matrix solutions of the Schlesing…