Перегляд за автором "Valchev, T.I."

Результати 1-3 з 3

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 ...
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 ...

Результати 1-3 з 3

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