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20112022
most citedIntegrable equations and recursion operators related to the affine Lie algebras

9 citations · 17 across the 6 of their papers we have counts for

collaborators

6 papers

quant-ph2022★ 4 cited

Control of a qubit state by a soliton propagating through a Heisenberg spin chain

S. Varbev, I. Boradjiev, R. Kamburova +1

We demonstrate that nonlinear magnetic solitary excitations (solitons) traveling through a Heisenberg spin chain may be used as a robust tool capable of coherent control of the qub…

cond-mat.mes-hall2019★ 2 cited

Dynamics of a periodic chain coupled to a photon mode

S. Varbev, I. Boradjiev, H. Tonchev +1

We study the real-time dynamics of a periodic system exposed to a composite field comprised of a constant homogeneous magnetic and a quantized circularly polarized electromagn…

nlin.SI2015★ 1 cited

On MKdV Equations Related to the Affine Kac-Moody Algebra

Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov +1

We have derived a new system of mKdV-type equations which can be related to the affine Lie algebra . This system of partial differential equations is integrable via th…

nlin.SI2014

Soliton equations related to the affine Kac-Moody algebra D^(1)_4

Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov +1

We have derived the hierarchy of soliton equations associated with the untwisted affine Kac-Moody algebra D^(1)_4 by calculating the corresponding recursion operators. The Hamilton…

nlin.SI2014★ 9 cited

Integrable equations and recursion operators related to the affine Lie algebras

Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov +1

We have derived a family of equations related to the untwisted affine Lie algebras using a Coxeter reduction. They represent the third member of th…

cond-mat.supr-con2011★ 1 cited

Correlation between T_c and the Cu 4s level reveals the mechanism of high-temperature superconductivity

Z. D. Dimitrov, S. K. Varbev, K. J. Omar +3

Band structure trends in hole-doped cuprates and correlations with T_c are interpreted within the s--d exchange mechanism of high-T_c superconductivity. The dependence of T_c on th…