54 citations · 361 across the 25 of their papers we have counts for
25 papers
On the -waves hierarchy with constant boundary conditions. Spectral properties
Vladimir S. Gerdjikov, Georgi G. Grahovski
The paper is devoted to -wave equations with constant boundary conditions related to symplectic Lie algebras. We study the spectral properties of a class of Lax operators , w…
On affine Toda field theories related to algebras and their real Hamiltonian forms
Vladimir S. Gerdjikov, Georgi G. Grahovski
The paper deals with affine 2-dimensional Toda field theories related to simple Lie algebras of the classical series . We demonstrate that the complexification procedure…
Thermodynamic properties of disordered quantum spin ladders
Erol Vatansever, Georgi G. Grahovski, Nikolaos G. Fytas
In this paper, we study the thermodynamic properties of spin- antiferromagnetic Heisenberg ladders by means of the stochastic series expansion quantum Monte Carlo technique. T…
Real Hamiltonian forms of affine Toda field theories: spectral aspects
Vladimir S. Gerdjikov, Georgi G. Grahovski, Alexander A. Stefanov
The paper is devoted to real Hamiltonian forms of 2-dimensional Toda field theories related to exceptional simple Lie algebras, and to the spectral theory of the associated Lax ope…
On nonlocal reductions of the multi-component nonlinear Schrodinger equation on symmetric spaces
Georgi G. Grahovski, Junaid I. Mustafa, Hadi Susanto
The aim of this paper is to develop the inverse scattering transform (IST) for multi-component generalisations of nonlocal reductions of the nonlinear Schrodinger (NLS) equation wi…
Nonlocal reductions of the Ablowitz-Ladik equation
Georgi G. Grahovski, Amal J. Mohammed, Hadi Susanto
The purpose of the present paper is to develop the inverse scattering transform for the nonlocal semi-discrete nonlinear Schrodinger equation (known as Ablowitz-Ladik equation) wit…