265 citations · 274 across the 4 of their papers we have counts for
4 papers
The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
D. Ananikian, T. Bergeman
There have been many discussions of two-mode models for Bose condensates in a double well potential, but few cases in which parameters for these models have been calculated for rea…
Full chains of twists for symplectic algebras
David Ananikian, Petr Kulish, Vladimir Lyakhovsky
The problem of constructing the explicit form for full twist deformations of simple Lie algebras g with twist carriers containing the maximal nilpotent subalgebra N^+(g) is studied…
Chains of twists for symplectic Lie algebras
David Ananikian, Petr Kulish, Vladimir Lyakhovsky
Serious difficulties arise in the construction of chains of twists for symplectic Lie algebras. Applying the canonical chains of extended twists to deform the Hopf algebras U(sp(N)…
Duality and Boundary Yangians
V. D. Lyakhovsky, D. N. Ananikian
The existence of dual structures in a Yangian Y(g) signify that the latter belongs to multidimensional naturally parametrized variety of Hopf algebras. These varieties have boundar…