81 citations · 379 across the 18 of their papers we have counts for
18 papers
Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models
V. S. Gerdjikov, N. A. Kostov, T. I. Valchev
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct…
Exact solutions for a class of integrable Henon-Heiles-type systems
N. A. Kostov, V. S. Gerdjikov, V. Mioc
We study the exact solutions of a class of integrable Henon-Heiles-type systems (according to the analysis of Bountis et al. (1982)). These solutions are expressed in terms of two-…
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
Vladimir S. Gerdjikov, Nikolay A. Kostov
New reductions for the multicomponent modified Korteveg-de Vries (MMKdV) equations on the symmetric spaces of {\bf DIII}-type are derived using the approach based on the reduction…
Solutions of multi-component NLS models and spinor Bose-Einstein condensates
V. S. Gerdjikov, A. Kostov, T. I. Valchev
A three- and five-component nonlinear Schrodinger-type models, which describe spinor Bose-Einstein condensates (BEC's) with hyperfine structures F=1 and F=2 respectively, are studi…
The Manakov system as two moving interacting curves
N. A. Kostov, R. Dandoloff, V. S. Gerdjikov +1
The two time-dependent Schrodinger equations in a potential V(s,u), denoting time, can be interpreted geometrically as a moving interacting curves whose Fermi-Walker phase dens…
New Lax pair for restricted multiple three wave interaction system, quasiperiodic solutions and bi-hamiltonian structure
N. A. Kostov, A. V. Tsiganov
We study restricted multiple three wave interaction system by the inverse scattering method. We develop the algebraic approach in terms of classical -matrix and give an interpre…