166 citations · 523 across the 13 of their papers we have counts for
13 papers
Jordanian deformation of the open XXX-spin chain
P. P. Kulish, N. Manojlovic, Z. Nagy
The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the specia…
Baxterization of solutions to reflection equation with Hecke R-matrix
P. P. Kulish, A. I. Mudrov
Let be a Hecke solution to the Yang-Baxter equation and be a reflection equation matrix with coefficients in an associative algebra $\A$. Let be the baxterization of…
Group Theoretical Structure and Inverse Scattering Method for super-KdV Equation
Petr P. Kulish, Anton M. Zeitlin
Using the group-theoretical approach to the inverse scattering method the supersymmetric Korteweg-de Vries equation is obtained by application of the Drinfeld-Sokolov reduction to…
On universal solution to reflection equation
J. Donin, P. P. Kulish, A. I. Mudrov
For a given quasitriangular Hopf algebra $\Ha$ we study relations between the braided group $\tilde \Ha^*$ and Drinfeld's twist. We show that the braided bialgebra structure of $\t…
Trigonometric osp(1|2) Gaudin model
P. P. Kulish, N. Manojlovic
The problems connected with Gaudin models are reviewed by analyzing model related to the trigonometric osp(1|2) classical r-matrix. The eigenvectors of the trigonometric osp(1|2) G…
Creation operators and Bethe vectors of the osp(1|2) Gaudin model
P. P. Kulish, N. Manojlovic
Gaudin model based on the orthosymplectic Lie superalgebra osp(1|2) is studied. The eigenvectors of the osp(1|2) invariant Gaudin hamiltonians are constructed by algebraic Bethe An…