Tihomir Valchev
Tihomir Valchev
Asst. Prof. of Mathematics, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
Verified email at math.bas.bg
Title
Cited by
Cited by
Year
Reductions of integrable equations on A. III-type symmetric spaces
VS Gerdjikov, AV Mikhailov, TI Valchev
Journal of Physics A: Mathematical and Theoretical 43 (43), 434015, 2010
382010
Solutions of multi-component NLS models and spinor Bose–Einstein condensates
VS Gerdjikov, NA Kostov, TI Valchev
Physica D: Nonlinear Phenomena 238 (15), 1306-1310, 2009
372009
Polynomial bundles and generalised Fourier transforms for integrable equations on A. III-type symmetric spaces
VS Gerdjikov, GG Grahovski, AV Mikhailov, TI Valchev
Sigma 7 (096), 48, 2011
342011
Recursion operators and reductions of integrable equations on symmetric spaces
V Gerdjikov, A Mikhailov, T Valchev
Proceedings of the Twelfth International Conference on Geometry …, 2011
272011
On classification of soliton solutions of multicomponent nonlinear evolution equations
VS Gerdjikov, DJ Kaup, NA Kostov, TI Valchev
Journal of Physics A: Mathematical and Theoretical 41 (31), 315213, 2008
202008
On Mikhailov's reduction group
T Valchev
Physics Letters A 379 (34), 1877-1880, 2015
182015
How many types of soliton solutions do we know?
VS Gerdjikov, DJ Kaup, NA Kostov, TI Valchev
arXiv preprint arXiv:0708.1253, 2007
162007
N-wave equations with orthogonal algebras: Z_2 and Z_2× Z_2 reductions and soliton solutions
VS Gerdjikov, NA Kostov, TI Valchev
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3, 039, 2007
162007
Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties
AB Yanovski, TI Valchev
Journal of Nonlinear Mathematical Physics 25 (2), 324-350, 2018
142018
Bose-Einstein condensates with F= 1 and F= 2: reductions and soliton interactions of multi-component NLS models
VS Gerdjikov, NA Kostov, TI Valchev
International Conference on Ultrafast and Nonlinear Optics 2009 7501, 75010W, 2009
122009
Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice
NA Kostov, VS Gerdjikov, TI Valchev
Symmetry, Integrability and Geometry: Methods and Applications, SIGMA 3 (071 …, 2007
122007
Rational bundles and recursion operators for integrable equations on A. III-type symmetric spaces
VS Gerdjikov, GG Grahovski, AV Mikhailov, TI Valchev
Theoretical and Mathematical Physics 167 (3), 740-750, 2011
102011
On Soliton Interactions for the Hierarchy of a Generalised Heisenberg Ferromagnetic Model on Symmetric Space
V Gerdjikov, G Grahovski, A Mikhailov, T Valchev
Proceedings of the Thirteenth International Conference on Geometry …, 2012
92012
On a nonlocal nonlinear Schrödinger equation
T Valchev
Mathematics in Industry, 36-52, 2014
82014
On certain reductions of integrable equations on symmetric spaces
TI Valchev
AIP Conference Proceedings 1340 (1), 154-164, 2011
82011
On generalized Fourier transform for Kaup-Kupershmidt type equations
T Valchev
Proceedings of the Eleventh International Conference on Geometry …, 2010
82010
On the Kaup-Kupershmidt equation. Completeness relations for the squared solutions
T Valchev
Proc. 9-th International Conference on Geometry, Integrability and …, 2008
8*2008
Breather solutions of N-wave equations
V Gerdjikov, T Valchev
Proceedings of the Eighth International Conference on Geometry …, 2007
62007
New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
TI Valchev, AB Yanovski
arXiv preprint arXiv:1802.03591, 2018
52018
Soliton equations with deep reductions. Generalized Fourier transforms
V Gerdjikov, N Kostov, T Valchev
Topics in contemporary differential geometry, complex analysis and …, 2007
52007
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