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Valchev, Tihomir I.

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Author ID: valchev.tihomir-i Recent zbMATH articles by "Valchev, Tihomir I."
Published as: Valchev, Tihomir; Valchev, Tihomir I.; Valchev, T. I.; Valchev, T.
External Links: ORCID · ResearchGate · Math-Net.Ru
Documents Indexed: 35 Publications since 2007
Reviewing Activity: 7 Reviews
Co-Authors: 10 Co-Authors with 22 Joint Publications
184 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

19 Publications have been cited 61 times in 37 Documents Cited by Year
Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326
Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I.
10
2009
On Mikhailov’s reduction group. Zbl 1343.35217
Valchev, Tihomir
9
2015
Reductions of integrable equations on A.III-type symmetric spaces. Zbl 1202.35221
Gerdjikov, V. S.; Mikhailov, A. V.; Valchev, T. I.
8
2010
Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I.
7
2011
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316
Kostov, Nikolay A.; Gerdjikov, Vladimir S.; Valchev, Tihomir I.
3
2007
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. I: Auxiliary system and fundamental properties. Zbl 1411.37057
Yanovski, A. B.; Valchev, T. I.
3
2018
Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions. Zbl 1342.35356
Valchev, T. I.
2
2016
Recursion operators and reductions of integrable equations on symmetric spaces. Zbl 1217.37065
Gerdjikov, Vladimir S.; Mikhailov, Alexander V.; Valchev, Tihomir I.
2
2010
\(N\)-wave equations with orthogonal algebras: \(\mathbb Z_2\) and \(\mathbb Z_2\times\mathbb Z_2\) reductions and soliton solutions. Zbl 1134.37028
Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I.
2
2007
Breather solutions of \(N\)-wave equations. Zbl 1123.35342
Gerdjikov, Vladimir; Valchev, Tihomir
2
2007
On generalized Fourier transform for Kaup-Kupershmidt type equations. Zbl 1203.37113
Valchev, Tihomir
2
2010
Description of all conformally invariant differential operators, acting on scalar functions. Zbl 1153.81412
Nikolov, Petko; Valchev, Tihomir
1
2007
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444
Gerdjikov, V.; Kostov, N.; Valchev, T.
1
2007
On the quadratic bundles related to Hermitian symmetric spaces. Zbl 1312.37046
Valchev, Tihomir I.
1
2013
On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space. Zbl 1259.82127
Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir
1
2012
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. Zbl 1417.35010
Valchev, T. I.; Yanovski, Aleksandar B.
1
2018
New reductions of a matrix generalized Heisenberg ferromagnet equation. Zbl 1424.35323
Valchev, Tihomir; Yanovsky, Alexander
1
2018
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. I: Auxiliary system and fundamental properties. Zbl 1411.37057
Yanovski, A. B.; Valchev, T. I.
3
2018
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. Zbl 1417.35010
Valchev, T. I.; Yanovski, Aleksandar B.
1
2018
New reductions of a matrix generalized Heisenberg ferromagnet equation. Zbl 1424.35323
Valchev, Tihomir; Yanovsky, Alexander
1
2018
Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions. Zbl 1342.35356
Valchev, T. I.
2
2016
On Mikhailov’s reduction group. Zbl 1343.35217
Valchev, Tihomir
9
2015
On the quadratic bundles related to Hermitian symmetric spaces. Zbl 1312.37046
Valchev, Tihomir I.
1
2013
On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space. Zbl 1259.82127
Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir
1
2012
Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I.
7
2011
Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
1
2011
Reductions of integrable equations on A.III-type symmetric spaces. Zbl 1202.35221
Gerdjikov, V. S.; Mikhailov, A. V.; Valchev, T. I.
8
2010
Recursion operators and reductions of integrable equations on symmetric spaces. Zbl 1217.37065
Gerdjikov, Vladimir S.; Mikhailov, Alexander V.; Valchev, Tihomir I.
2
2010
On generalized Fourier transform for Kaup-Kupershmidt type equations. Zbl 1203.37113
Valchev, Tihomir
2
2010
Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326
Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I.
10
2009
On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048
Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I.
4
2008
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316
Kostov, Nikolay A.; Gerdjikov, Vladimir S.; Valchev, Tihomir I.
3
2007
\(N\)-wave equations with orthogonal algebras: \(\mathbb Z_2\) and \(\mathbb Z_2\times\mathbb Z_2\) reductions and soliton solutions. Zbl 1134.37028
Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I.
2
2007
Breather solutions of \(N\)-wave equations. Zbl 1123.35342
Gerdjikov, Vladimir; Valchev, Tihomir
2
2007
Description of all conformally invariant differential operators, acting on scalar functions. Zbl 1153.81412
Nikolov, Petko; Valchev, Tihomir
1
2007
Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444
Gerdjikov, V.; Kostov, N.; Valchev, T.
1
2007

Citations by Year