INSTITUTE FOR NUCLEAR RESEARCH AND NUCLEAR ENERGY

BULGARIAN ACADEMY OF SCIENCES

Laboratory of  "Solitons, Coherence and Geometry"

 

GEORGI GRAHOVSKI

 

(photo)

 Georgi Georgiev GRAHOVSKI

Postal address:

Institute for Nuclear Research and Nuclear Energy

Bulgarian Academy of Sciences

72 Tsarigradsko chaussee 

1784 Sofia (BULGARIA)

Phone:

(+ 359 2) 71 44 477

Date, Place of Birth:

July 13, 1973, Varna, Bulgaria 

Marital Status:

Single

Education:
  • BSc: 1995 - “St. Kliment Ohridski” University, Sofia, Bulgaria.
  • MSc: 1996 - “St. Kliment Ohridski” University, Sofia, Bulgaria.
  • PhD: 2003 - Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

Professional Status:
  • 1996 - 1998 National Astronomical Observatory and Planetarium "N. Coupernicus", Varna, Bulgaria - Researcher
  • 1998 - 2001 Institute for Nuclear Research and Nuclear Energy, Sofia - PhD Student
  • 2001 - (present) Institute for Nuclear Research and Nuclear Energy, Sofia - Researcher

Fields of interest:
  • Hamiltonian systems;
  • Soliton theory;
  • Lie groups, Lie algebras and applications to integrable systems;
  • Reductions and symmetries of integrable systems.

Foreign languages:

English, Russian, Greek

 

LIST OF PUBLICATIONS

 

  1. Articles and Preprints:

 

  1. V. S. Gerdjikov, G. G. Grahovski, R. I. Ivanov, N. A. Kostov- N-wave interactions related to simple Lie algebras. Z2- reductions and soliton solutions, Inverse Problems 17 (2001), 999 - 1015; (E-print: nlin.SI/0009034).
  2. V. S.Gerdjikov, G. G. Grahovski, N. A. Kostov- Reductions of N-wave interactions related to low-rank simple Lie algebras. I: Z2 - reductions, J. Phys. A: Math. and Gen. 34 (2001), 9425 - 9461; (E-print: nlin.SI/0006001). 
  3. V. S.Gerdjikov, G. G. Grahovski- Reductions and real forms of Hamiltonian systems related to N-wave type equations, Balkan Physics Letters  9 (2000) (BPU-4), 531 - 534; (E-print: nlin. SI/0009035).
  4. V. S. Gerdjikov, G. G. Grahovski, N. A. Kostov - On N-wave type systems and their gauge equivalent, European Physical Journal B, 29 (2002), 243-248; (E-print: nlin.SI/0111027). 
  5. V. S. Gerdjikov, G. G. Grahovski – On N-wave type and NLS type systems and their gauge equivalent: generating operators and the gauge group action, Proc. of IM of NAS of Ukraine 50 (2004), 388–395.
  6. V. S. Gerdjikov, G. G. Grahovski, N. A. Kostov– On the multi-component NLS type equations on symmetric spaces and their reductions, Theor. Math. Phys. 144 (2005), n.2, 1147–1156.
  7. V. S. Gerdjikov, G. G. Grahovski –On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories, J. of Nonlin. Math. Phys. (In press) (2005).

 

B. Reports on Conferences:

 

  1. V. S.Gerdjikov, G. G. Grahovski, N. A. Kostov- N-wave interactions related to low-rank Lie algebras - In: "Nonlinearity, Integrability and all that: 20 years after NEEDS'79", eds: M. Boiti, L. Martina, B. Prinari, G. Soliani, World Scientific Press, 2000, pp. 279-283. 
  2. V. S.Gerdjikov, G. G. Grahovski, N. A. Kostov- Reductions of N-wave interactions related to low-rank Lie algebras - In: "Geometry, Integrability and Quantization", eds: Ivailo Mladenov and Gregory Naber, "Coral Press" Scientific Publishing, Sofia, 2000, pp. 55-77.
  3. V. S.Gerdjikov, G. G. Grahovski, N. A. Kostov- On the reductions and Hamiltonian structures of N-wave type equations, In: "Geometry, Integrability and Quantization II", eds: Ivailo Mladenov and Gregory Naber, "Coral Press" Scientific Publishing, Sofia, (2001), pp. 157-170.
  4. V. S.Gerdjikov, G. G. Grahovski, N. A. Kostov- N-wave type systems and their gauge equivalent related to the orthogonal algebras, In: "Geometry, Integrability and Quantization III", eds: Ivailo Mladenov and Gregory Naber, "Coral Press" Scientific Publishing, Sofia, (2002), pp. 249-261. 
  5. G. G. Grahovski - On The Reductions and Scattering Data for the CBC System, In: "Geometry, Integrability and Quantization III", Eds: I. Mladenov and G. Naber, Coral Press, Sofia, 2002 pp.262-277. 
  6. G. G. Grahovski – On the Reductions and Scattering Data for the Generalized Zakharov–Shabat Systems, In ”Nonlinear Physics: Theory and Experiment. II”, Eds: M.J.Ablowitz, M.Boiti, F.Pempinelli and B.Prinari, World Scientific, Singapore, 2003, pp.71–78.
  7. V. S. Gerdjikov, G. G. Grahovski – On the multi-component NLS type systems and their gauge equivalent: Examples and reductions, In “Global Analysis and Applied Mathematics”, Eds: K. Tas, D. Krupka, O. Krupkova, D. Baleanu, AIP Conference Proceedings 729 (2004), pp.162-169.
  8. G. G. Grahovski, V. S. Gerdjikov, N. A. Kostov– On the multi-component NLS type equations on symmetric spaces: Reductions and soliton solutions, In ”Geometry, Integrability and Quantization VI”, Eds: I. Mladenov and A. Hirchfeld, Softex, Sofia (2005), pp. 203-217.
  9. V. S. Gerdjikov, G. G. Grahovski, N. A. Kostov– On the multi-component NLS type equations on symmetric spaces: Scattering data properties and reductions, In: Proceedings of the international conference ”Contemporary problems of Astronomy, Theoretical and Gravitational Physics” (dedicated to Prof. Georgi Manev), Sofia (In press).

 

C. Other Publications:

 

  1. G. G. Grahovski – Book review: “The Kepler Problem: Group Theoretical Aspects, Regularization and Quantization, with Application to the Study of Perturbation”, by Bruno Cordani, Birkhauser, Basel, 2002, xvii + 439 pp. + CD included, ISBN 3-7643- 6902-7, J. of Geometry and Symmetry in Physics, 1 (2004), 121 - 126.