688 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Bogolyubov Institute for Theoretical PhysicsUA16 papers
- National Academy of Sciences of UkraineUA14 papers
- Taras Shevchenko National University of KyivUA11 papers
- Institute of MathematicsPL7 papers
- University of NottinghamGB4 papers
- F.D. Ovcharenko Institute of Biocolloidal ChemistryUA3 papers
- Institute for Nuclear ResearchRU3 papers
- Leibniz Institute for Solid State and Materials ResearchDE3 papers
- Leiden UniversityNL3 papers
- University of ConnecticutUS3 papers
- AGH University of KrakowPL2 papers
- Bielefeld UniversityDE2 papers
8 papers · 1 filter
Symmetries and exact solutions of a reaction-diffusion system arising in population dynamics
Philip Broadbridge, Roman Cherniha, Vasyl' Davydovych +1
A system of two cubic reaction-diffusion equations for two independent gene frequencies arising in population dynamics is studied. Depending on values of coefficients, all possible…
Reality conditions for the KdV equation and exact quasi-periodic solutions in finite phase spaces
Julia Bernatska
In the present paper reality conditions for quasi-periodic solutions of the KdV equation are determined completely. As a result, solutions in the form of non-linear waves can be pl…
Sato Grassmannian and Degenerate Sigma Function
Julia Bernatska, Victor Enolski, Atsushi Nakayashiki
The degeneration of the hyperelliptic sigma function is studied. We use the Sato Grassmannian for this purpose. A simple decomposition of a rational function gives a decomposition…
Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
V. Z. Enolski, Yu. N. Fedorov
For a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genu…
Orbit Approach to Separation of Variables in sl(4)-Related Integrable Systems
Julia Bernatska
Separation of variables by means of the orbit method is implemented to integrable systems on coadjoint orbits in an loop algebra. This is a development and a kin…
SU(3) magnet: finite-gap integration on the lowest genus curve
Julia Bernatska, Petro Holod
We consider the integrable system of isotropic SU(3) Landau-Lifshits equation as a Hamiltonian system on a coadjoint orbit of the SU(3) loop group. We connect the mentioned equatio…
Orbit Approach to Separation of Variables in sl(3)-Related Integrable Systems
Julia Bernatska, Petro Holod
Using the orbit method we attempt to reveal geometric and algebraic meaning of separation of variables for the integrable systems on coadjoint orbits in an loop…
On Separation of Variables for Integrable Equations of Soliton Type
Julia Bernatska, Petro Holod
We propose a general scheme for separation of variables in the integrable Hamiltonian systems on orbits of the loop algebra .…