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
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
Roman Cherniha, Vasyl' Davydovych
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is construc…
Lie symmetries of nonlinear boundary value problems
Roman Cherniha, Sergii Kovalenko
Nonlinear boundary value problems (BVPs) by means of the classical Lie symmetry method are studied. A new definition of Lie invariance for BVPs is proposed by the generalization of…
NetzCope: A Tool for Displaying and Analyzing Complex Networks
Michael J. Barber, Ludwig Streit, Oleg Strogan
Networks are a natural and popular mechanism for the representation and investigation of a broad class of systems. But extracting information from a network can present significant…
Reconstruction of Hamiltonians from given time evolutions
J Bernatska, A Messina
In this paper we propose a systematic method to solve the inverse dynamical problem for a quantum system governed by the von Neumann equation: to find a class of Hamiltonians repro…
Distinguishability of particles and its implications for peculiar mass transport in inhomogeneous media
Sergei P. Lukyanets, Oleksandr V. Kliushnychenko
A mass transport directed from low to high density region in an inhomogeneous medium is modeled as a limiting case of a two-component lattice gas with excluded volume constraint an…
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 .…
Topological excitations in 2D spin system with high spin
Julia Bernatska, Petro Holod
We construct a class of topological excitations of a mean field in a two-dimensional spin system represented by a quantum Heisenberg model with high powers of exchange interaction.…
Ordered States and Nonlinear Large-Scale Excitations in a Plane Magnet with Spin s=1
Julia Bernatska, Petro Holod
We study ordered states and topological excitations in a quasi-two-dimensional magnet, modeled by a square lattice with spins at all sites, and the Hamiltonian with biqua…