312 citations · 890 across the 19 of their papers we have counts for
19 papers
Combinatorics of multisecant Fay identities
V. E. Vekslerchik
We derive a set of identities for the theta functions on compact Riemann surfaces which generalize the famous trisecant Fay identity. Using these identities we obtain quasiperiodic…
Correlation properties of the random linear high-order Markov chains
V. E. Vekslerchik, G. M. Pritula, S. S. Melnik +1
The aim of this paper is to study the correlation properties of random sequences with additive linear conditional probability distribution function (CPDF) and elaborate a reliable…
Explicit Solutions for a Nonlinear Vector Model on the Triangular Lattice
V. E. Vekslerchik
We present a family of explicit solutions for a nonlinear classical vector model with anisotropic Heisenberg-like interaction on the triangular lattice.
Functional representation of the negative AKNS hierarchy
V. E. Vekslerchik
This paper is devoted to the negative flows of the AKNS hierarchy. The main result of this work is the functional representation of the extended AKNS hierarchy, composed of both po…
Lattice representation and dark solitons of the Fokas-Lenells equation
V. E. Vekslerchik
This work is devoted to an integrable generalization of the nonlinear Schrödinger equation proposed by Fokas and Lenells. I discuss the relationships between this equation and othe…
Eigenvalue cut-off in the cubic-quintic nonlinear Schrodinger equation
Vladyslav Prytula, Vadym Vekslerchik, Victor M. Perez-Garcia
Using theoretical arguments, we prove the numerically well-known fact that the eigenvalues of all localized stationary solutions of the cubic-quintic 2D+1 nonlinear Schrodinger equ…