Edit Profile (opens in new tab) Valchev, Tihomir I. Co-Author Distance Author ID: valchev.tihomir-i Published as: Valchev, Tihomir; Valchev, Tihomir I.; Valchev, T. I.; Valchev, T. more...less External Links: ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 35 Publications since 2007 Reviewing Activity: 12 Reviews Co-Authors: 10 Co-Authors with 22 Joint Publications 186 Co-Co-Authors all top 5 Co-Authors 13 single-authored 16 Gerdzhikov, Vladimir Stefanov 9 Kostov, Nikolay A. 6 Mikhailov, Alexander Vasil’evich 3 Grahovski, Georgi G. 3 Yanovski, Aleksandar B. 2 Kaup, David J. 1 Mladenov, Ivaĭlo M. 1 Mladenova, Clementina D. 1 Nikolov, Petko A. 1 Yanovsky, Alexander all top 5 Serials 5 Journal of Geometry and Symmetry in Physics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 PLISKA. Studia Mathematica 2 Journal of Mathematical Physics 2 Journal of Nonlinear Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Physica D all top 5 Fields 30 Partial differential equations (35-XX) 27 Dynamical systems and ergodic theory (37-XX) 10 Statistical mechanics, structure of matter (82-XX) 5 Nonassociative rings and algebras (17-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Optics, electromagnetic theory (78-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 81 times in 46 Documents Cited by ▼ Year ▼ Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I. 17 2009 On Mikhailov’s reduction group. Zbl 1343.35217Valchev, Tihomir 12 2015 Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I. 10 2011 Reductions of integrable equations on A.III-type symmetric spaces. Zbl 1202.35221Gerdjikov, V. S.; Mikhailov, A. V.; Valchev, T. I. 9 2010 On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I. 6 2008 Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316Kostov, 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 1411.37057Yanovski, A. B.; Valchev, T. I. 3 2018 \(N\)-wave equations with orthogonal algebras: \(\mathbb Z_2\) and \(\mathbb Z_2\times\mathbb Z_2\) reductions and soliton solutions. Zbl 1134.37028Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I. 2 2007 Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I. 2 2011 Recursion operators and reductions of integrable equations on symmetric spaces. Zbl 1217.37065Gerdjikov, Vladimir S.; Mikhailov, Alexander V.; Valchev, Tihomir I. 2 2010 On generalized Fourier transform for Kaup-Kupershmidt type equations. Zbl 1203.37113Valchev, Tihomir 2 2010 On soliton interactions for the hierarchy of a generalised Heisenberg ferromagnetic model on \(SU (3)/ S (U (1) \times U (2))\) symmetric space. Zbl 1259.82127Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir 2 2012 Breather solutions of \(N\)-wave equations. Zbl 1123.35342Gerdjikov, Vladimir; Valchev, Tihomir 2 2007 On the quadratic bundles related to Hermitian symmetric spaces. Zbl 1312.37046Valchev, Tihomir I. 2 2013 Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions. Zbl 1342.35356Valchev, T. I. 2 2016 Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444Gerdjikov, V.; Kostov, N.; Valchev, T. 1 2007 On the Kaup-Kupershmidt equation. Completeness relations for the squared solutions. Zbl 1193.35200Valchev, Tihomir 1 2008 Description of all conformally invariant differential operators, acting on scalar functions. Zbl 1153.81412Nikolov, Petko; Valchev, Tihomir 1 2007 New reductions of a matrix generalized Heisenberg ferromagnet equation. Zbl 1424.35323Valchev, Tihomir; Yanovsky, Alexander 1 2018 Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. Zbl 1417.35010Valchev, T. I.; Yanovski, Aleksandar B. 1 2018 Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. I: Auxiliary system and fundamental properties. Zbl 1411.37057Yanovski, A. B.; Valchev, T. I. 3 2018 New reductions of a matrix generalized Heisenberg ferromagnet equation. Zbl 1424.35323Valchev, Tihomir; Yanovsky, Alexander 1 2018 Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. Zbl 1417.35010Valchev, T. I.; Yanovski, Aleksandar B. 1 2018 Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions. Zbl 1342.35356Valchev, T. I. 2 2016 On Mikhailov’s reduction group. Zbl 1343.35217Valchev, Tihomir 12 2015 On the quadratic bundles related to Hermitian symmetric spaces. Zbl 1312.37046Valchev, Tihomir I. 2 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 1259.82127Gerdjikov, Vladimir; Grahovski, Georgi; Mikhailov, Alexander; Valchev, Tihomir 2 2012 Polynomial bundles and generalised Fourier transforms for integrable equations on A.III-type symmetric spaces. Zbl 1248.37065Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Mikhailov, Alexander V.; Valchev, Tihomir I. 10 2011 Bose-Einstein condensates and multi-component NLS models on symmetric spaces of BD. I-type. Expansions over squared solutions. Zbl 1218.37100Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I. 2 2011 Reductions of integrable equations on A.III-type symmetric spaces. Zbl 1202.35221Gerdjikov, V. S.; Mikhailov, A. V.; Valchev, T. I. 9 2010 Recursion operators and reductions of integrable equations on symmetric spaces. Zbl 1217.37065Gerdjikov, Vladimir S.; Mikhailov, Alexander V.; Valchev, Tihomir I. 2 2010 On generalized Fourier transform for Kaup-Kupershmidt type equations. Zbl 1203.37113Valchev, Tihomir 2 2010 Solutions of multi-component NLS models and spinor Bose-Einstein condensates. Zbl 1167.82326Gerdjikov, V. S.; Kostov, N. A.; Valchev, T. I. 17 2009 On classification of soliton solutions of multicomponent nonlinear evolution equations. Zbl 1143.37048Gerdjikov, V. S.; Kaup, D. J.; Kostov, N. A.; Valchev, T. I. 6 2008 On the Kaup-Kupershmidt equation. Completeness relations for the squared solutions. Zbl 1193.35200Valchev, Tihomir 1 2008 Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice. Zbl 1139.82316Kostov, 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 1134.37028Gerdjikov, Vladimir S.; Kostov, Nikolay A.; Valchev, Tihomir I. 2 2007 Breather solutions of \(N\)-wave equations. Zbl 1123.35342Gerdjikov, Vladimir; Valchev, Tihomir 2 2007 Soliton equations with deep reductions. Generalized Fourier transforms. Zbl 1180.35444Gerdjikov, V.; Kostov, N.; Valchev, T. 1 2007 Description of all conformally invariant differential operators, acting on scalar functions. Zbl 1153.81412Nikolov, Petko; Valchev, Tihomir 1 2007 all cited Publications top 5 cited Publications all top 5 Cited by 66 Authors 11 Gerdzhikov, Vladimir Stefanov 6 Grahovski, Georgi G. 6 Ivanov, Rossen I. 4 Valchev, Tihomir I. 3 Kyuldjiev, Assen V. 3 Prinari, Barbara 3 Todorov, Michail D. 2 Cen, Julia 2 Fring, Andreas 2 Wu, Derchyi 2 Yanovski, Aleksandar B. 1 Adamopoulou, Panagiota 1 Berloff, Natalia G. 1 Cao, Daomin 1 Chern, I-Liang 1 Christov, Ognyan 1 Constantin, Adrian 1 Demontis, Francesco 1 Dong, Huanhe 1 Guo, Jiafeng 1 Gürses, Metin 1 He, Guoliang 1 Horikis, Theodoros P. 1 Infeld, Eryk 1 Jiang, Nana 1 Kang, Jing 1 Kevrekidis, Panayotis G. 1 Konotop, Vladimir V. 1 Li, Nianhua 1 Li, Sitai 1 Liu, Xiaochuan 1 Lombardo, Sara 1 Lou, Senyue 1 Ma, Hui 1 Malomed, Boris A. 1 Matveev, Vladimir B. 1 Mohammed, Arkan Jassim 1 Mustafa, J. I. 1 Nikolov, Petko A. 1 Olver, Peter John 1 Ortiz, Alyssa K. 1 Papamikos, Georgios A. 1 Pekcan, Asli 1 Pérez-García, Víctor Manuel 1 Petrov, Nikola P. 1 Popivanov, Petar Radoev 1 Qu, Changzheng 1 Saleem, Umair 1 Sanders, Jan A. 1 Sarfraz, H. 1 Slavova, Angela 1 Smirnov, Alexander O. 1 Stefanov, Aleksander A. 1 Stępień, Łukasz T. 1 Szańkowski, Piotr 1 Trippenbach, Marek 1 Wang, Ming 1 Wei, Juncheng 1 Xu, Haijing 1 Xu, Siqi 1 Yan, Zhaowen 1 Yanovski, Alexandar Borissov 1 Zhang, Meina 1 Zhang, Yong 1 Zhao, Songlin 1 Zheltukhin, Kostyantyn all top 5 Cited in 24 Serials 6 Journal of Mathematical Physics 6 Theoretical and Mathematical Physics 4 Journal of Nonlinear Mathematical Physics 3 Wave Motion 3 Chaos, Solitons and Fractals 3 Physica D 2 Studies in Applied Mathematics 1 Modern Physics Letters A 1 Communications in Mathematical Physics 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. A 1 Turkish Journal of Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Advances in Difference Equations 1 Journal of Geometry and Symmetry in Physics 1 Boundary Value Problems 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics all top 5 Cited in 14 Fields 41 Partial differential equations (35-XX) 31 Dynamical systems and ergodic theory (37-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year