Перегляд за автором "Gerdjikov, V.S."

Результати 1-6 з 6

Exact Solutions for Equations of Bose-Fermi Mixtures in One-Dimensional Optical Lattice

Kostov, N.A.; Gerdjikov, V.S.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)

We present two new families of stationary solutions for equations of Bose-Fermi mixtures with an elliptic function potential with modulus k. We also discuss particular cases when the quasiperiodic solutions become periodic ...
Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)

The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of BD.I-type are analyzed. The focus of the study is on the spectral theory of the ...
N-Wave Equations with Orthogonal Algebras: Z₂ and Z₂ × Z₂ Reductions and Soliton Solutions

Gerdjikov, V.S.; Kostov, N.A.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)

We consider N-wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first Z₂-reduction is the canonical one. We impose a second Z₂-reduction and consider also ...
Polynomial Bundles and Generalised Fourier Transforms for Integrable Equations on A.III-type Symmetric Spaces

Gerdjikov, V.S.; Grahovski, G.G.; Mikhailov, A.V.; Valchev, T.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)

A special class of integrable nonlinear differential equations related to A.III-type symmetric spaces and having additional reductions are analyzed via the inverse scattering method (ISM). Using the dressing method we ...
Real Hamiltonian Forms of Affine Toda Models Related to Exceptional Lie Algebras

Gerdjikov, V.S.; Grahovski, G.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)

The construction of a family of real Hamiltonian forms (RHF) for the special class of affine 1+1-dimensional Toda field theories (ATFT) is reported. Thus the method, proposed in [1] for systems with finite number of degrees ...
Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type

Gerdjikov, V.S.; Kostov, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)

New reductions for the multicomponent modified Korteweg-de Vries (MMKdV) equations on the symmetric spaces of DIII-type are derived using the approach based on the reduction group introduced by A.V. Mikhailov. The relevant ...

Результати 1-6 з 6

Пошук

Розширений пошук

Перегляд

Вся бібліотека

Перегляд за автором "Gerdjikov, V.S."

Репозиторій DSpace/Manakin

Перегляд за автором "Gerdjikov, V.S."

Пошук

Перегляд

Вся бібліотека

Мій обліковий запис