562 citations
- Bulgarian Academy of SciencesBG49 papers
- Chinese Academy of SciencesCN32 papers
- University of Chinese Academy of SciencesCN17 papers
- Institute for Nuclear Research and Nuclear EnergyBG11 papers
- Sofia University "St. Kliment Ohridski"BG10 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Institute of Physical ChemistryPL5 papers
- Laboratoire de physique des lasersFR5 papers
- Polish Academy of SciencesPL5 papers
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8 papers · 1 filter
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…
Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice
Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev
We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus . We also discuss particular cases when…
New Integrable Multi-Component NLS Type Equations on Symmetric Spaces: Z_4 and Z_6 Reductions
G. G. Grahovski, V. S. Gerdjikov, N. A. Kostov +1
The reductions of the multi-component nonlinear Schrodinger (MNLS) type models related to C.I and D.III type symmetric spaces are studied. We pay special attention to the MNLS rela…
On N-wave type systems and their gauge equivalent
Vladimir S. Gerdjikov, Georgi G. Grahovski, Nikolay A. Kostov
The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the…
N-wave interactions related to simple Lie algebras. Z_2- reductions and soliton solutions
V. S. Gerdjikov, G. G. Grahovski, R. I. Ivanov +1
The reductions of the integrable N-wave type equations solvable by the inverse scattering method with the generalized Zakharov-Shabat systems L and related to some simple Lie algeb…