Prof. Vladimir S. Gerjikov
Personal Data
| Occupations: | Professor, Ph.D., D.Sc. |
| Office Address: | Laboratory of Solitons Coherency And Geometry, Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Shaussee, 1784 Sofia, Bulgaria |
| Office Phone: | (+359) 2 979 5638 |
| Office Fax: | (+359) 2 975 3619 |
| E-mail: | Този имейл адрес е защитен от спам ботове. Трябва да имате пусната JavaScript поддръжка, за да го видите. |
| Birth Date: | 07 January 1947 |
| Birth Place: | Stara Zagora, Bulgaria |
| Citizenship: | Bulgarian |
| Marital Status: | married |
Professional Data
Experience
1970 -- 71 -- physicist, Institute of Physics of the Bulgarian Academy of Sciences, Sofia, Bulgaria
1971 -- 74 -- Graduate student, Leningrad State University, USSR
1975 -- 76 -- Research fellow at INRNE, Sofia, Bulgaria
1977 -- 83 -- Research and senior research fellow, Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR.
1984 -- 1996 Research and senior research fellow, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria.
1996 -- Professor, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria.
Scientific Works
Books
V. S. Gerdjikov, G. Vilasi, A. B. Yanovski.Integrable Hamiltonian Hierarchies. Spectral and Geometric Methods.
Lecture Notes in Physics 748, Springer Verlag, Berlin, Heidelberg, New York (2008).ISBN: 978-3-540-77054-1 (Publisher's Link).
Eds: R. Balakrishnan, R. Dandoloff, V. Gerdjikov, D. Pushkarov, A. Saxena.Topical issue on geometry, integrability and nonlinearity in condenced matter physics. European J. Phys. 29B, (2002).
Eds: V. Gerdjikov, M. Tsvetkov, P. Fiziev. Prof. G. Manev's Legacy in Contemporary Aspects of Astronomy,
Theoretical and Gravitational Physics, Heron Press Ltd, Sofia, 2005.
Eds: K. Sekigawa, V. S. Gerdjikov, S. Dimiev.Trends in Differential Geometry, Complex Analysis and Mathematical Physics. World Scientific (2009).
Eds: K. Sekigawa, V. S. Gerdjikov, Yasuo Matsushita, I. M.Mladenov. Complex Structures, Integrability and Vector Fields. AIP Conference Proceeding, vol. 1340, (2011).
Eds: B. Aneva, V. Gerdjikov, P. Iliev, V. Papageorgiou.Symmetries and Integrability of Difference Equations (SIDE-9).
Special issue of SIGMA (2011).
Thesis
1987 -- DSc; "Generating Operators of Soliton--Type Non--Linear Evolution Equations, Related to the Semi--Simple Lie Algebras"
Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research, Dubna, USSR.
1974 -- PhD. "On the infrared singularities of the Quantum Electrodynamics"
Physics Department of Leningrad State University, Leningrad, USSR. Supervized by Prof. L.D.Faddeev,
Papers
97 refereed articles in International Journals, cited more than 750 times.
Selected recent papers:
V. S. Gerdjikov.Two-dimensional Toda field equations related to the exceptional g_2 algebra.Spectral properties of the Lax operators. TMF (In press) (2012).
V. S. Gerdjikov, G. G. Grahovski, A. V. Mikhailov, T. I. Valchev.Rational Bundles and Recursion Operators for Integrable Equations on A.III-type Symmetric Spaces. Theor. Math. Phys. 167, 740-750, (2011). ArXive: 1102.1942 [Nlin.SI]
V. S. Gerdjikov, R. I. Ivanov and A. V. Kyuldjiev.On the N-wave equations and soliton interactions in two and three dimensions. Wave Motion 48, 791--804 (2011) doi:10.1016/j.wavemoti.2011.04.014
V. S. Gerdjikov, G. G. Grahovski, R I Ivanov. On the (Non)-Integrability of KdV Hierarchy with Self-consistent Sources.Commun. Pure & Appl. Analysis. 11, 1439--1452 (2012) doi:10.3934/cpaa.2012.11. ArXive: 1109.4543 [Nlin.SI]
V. S. Gerdjikov.On soliton interactions of vector nonlinear Schrodinger equations. AIP 1404 57--67 (2011).
V. S. Gerdjikov, G. G. Grahovski, A. V. Mikhailov, T. I. Valchev.Recursion Operators and Hamiltonian structures for Integrable Equations on {\bf A.III}-type Symmetric Spaces. I. The Polynomial Case. SIGMA 7 (2011), 096, 48 pages. Special volume for SIDE-9. ArXive: 1108.3990 [Nlin.SI]
V. S. Gerdjikov.Modeling Soliton Interactions of the perturbed vector nonlinear Schrodinger equation. Bulgarian J. Phys.38 274--283 (2011).
V. S. Gerdjikov, N. A. Kostov. T. I. Valchev.Bose-Einstein condensates with F=1 and F=2.Reductions and soliton interactions of multi-component NLS models. In Eds: S. M. Saltiel; A. A. Dreischuh; I. P. Christov. Proceedings of SPIE 7501, 7501W (2009). arXiv: 1001.0168 [nlin.SI]
V. S. Gerdjikov. Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations. Discrete and Continuous Dynamical Systems B 4, 1181-1197 (2011). arXiv: 1001.0164 [nlin.SI]
N. A. Kostov, V. S. Gerdjikov, V. Mioc.Exact solutions for a class of integrable Henon-Heiles-type systems. J. Math. Phys, 51, 022702 (2010). arXiv: 0911.4260 [nlin.SI].
V. S. Gerdjikov, G. G. Grahovski.Multi-component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory. SIGMA 6 (2010), 044, 29 pages; arXiv: 1006.0301 [nlin.SI].
V. S. Gerdjikov, N. A. Kostov.Multi-component nonlinear Schrodinger equation onsymmetric spaces with constant boundary conditions. J. Geometry and Symmetry in Physics. 19, 1--28 (2010).
V S Gerdjikov, A V Mikhailov, T I Valchev.Reductions of integrable equations on A.III-type symmetric spaces. J. Phys. A: M\&T 43 434015 (2010). doi: 10.1088/1751-8113/43/43/434015 ArXiv: 1004.4182 [Nlin.SI]
Z. T. Kostova, N. A. Kostov, V. S. Gerdjikov.Differential resultant, computer algebra and completely integrable dynamical systems.In: Eds.: V. P. Gerdt, E. W. Mayr, E. V. Vorontsov..Lecture Notes of Computer Sciences. 6244, 148-161 (2010). Springer. DOI: 10.1007/978-3-642-15274-0-13
V. S. Gerdjikov, G. G. Grahovski.Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent. AIP Conf. Proc. 1301, pp. 561-572 (2010).
V. Gerdjikov, A. Mikhailov, T. Valchev.Recursion Operators and Reductions of Integrable Equations on Symmetric Spaces.J. Geometry and Symmetry in Physics 20, 1--34 (2010).
V. S. Gerdjikov. On Reductions of Soliton Solutions of multi-component NLS models and Spinor Bose-Einstein condensates.AIP CP 1186, 15-27 (2009). arXiv: 1001.0166 [nlin.SI]