athena
Dimitri J. Frantzeskakisdjf

Professor
Faculty of Physics, School of Science
University of Athens
Panepistimiopolis, Zografos
157 84 Athens, Greece

Research
Publications

Recent work



Publications

Books                               Journals                              Book Chapters                            Conference Papers

Papers published in special issues of peer-reviewed journals


18. Modeling of ultrashort pulse propagation in lossy nonlinear metamaterials  

N. L. Tsitsas, P. Porfyrakis, and D. J. Frantzeskakis

Math. Meth. Appl. Sci. (Special Issue on Trends in Applied Mathematics) DOI: 10.1002/mma.3987 (2016)


17. Excited Bose-Einstein condensates: quadrupole oscillations and dark solitons

 V. A. Achilleos, T. P. Horikis, G. Theocharis, P. G. Kevrekidis, and D. J. Frantzeskakis

 Math. Comput. Simul. 82, 946-957 (2012) Special Issue on Nonlinear Waves: Computation and Theory IX

 

16. Multiple dark solitons in Bose-Einstein condensates at finite temperatures

P. G. Kevrekidis and D. J. Frantzeskakis

Discr. Cont. Dynam. Systems – S 4, 1199-1212 (2011)

 

15. Extended nonlinear waves in multidimensional dynamical lattices

 Q. E. Hoq, J. Gagnon, P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, and R. Carretero-González

 Math. Comput. Simul. 80, 721-731 (2009) Special Issue on Nonlinear Waves: Computation and Theory VIII

 

 14. Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations

 A. Trombettoni, H. E. Nistazakis, Z. Rapti, D. J. Frantzeskakis, and P. G. Kevrekidis

 Math. Comput. Simul., 80, 814-824 (2009) Special Issue on Nonlinear Waves: Computation and Theory VIII, (arXiv:0904.2415)

 

 13. Soliton trains and vortex streets as a form of Čerenkov radiation in trapped Bose-Einstein condensates

 R. Carretero-González, P. G. Kevrekidis, D. J. Frantzeskakis, B. A. Malomed, S. Nandi, and A. R. Bishop

 Math. Comput. Simul. 74, 361-369 (2007) Special Issue on Nonlinear Waves: Computation and Theory VI

 

 12. Modulational instability and its suppression for ultracold bosons under magnetic and optical lattice trapping

 A. Trombettoni, P. G. Kevrekidis, H. E. Nistazakis, and D. J. Frantzeskakis

 J. Phys. B: At. Mol. Opt. Phys. 39, S231-S243 (2006) Special Issue on Theory of Quantum Gases and Quantum Coherence

 

 11. Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates

 G. Theocharis, D. J. Frantzeskakis, P. G. Kevrekidis, R. Carretero-González, and B. A. Malomed

 Math. Comput. Simul. 69, 537-552 (2005) Special Issue on Nonlinear Waves: Computation and Theory IV

 

10. Domain-wall crosses and propellers in binary Bose-Einstein condensates

 B. A. Malomed, H. E. Nistazakis, D. J. Frantzeskakis, and P. G. Kevrekidis

 Math. Comp. Simul. 69, 400-412 (2005) Special Issue on Nonlinear Waves: Computation and Theory III

 
9. Domain walls of single-component Bose-Einstein condensates in external potentials

 P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, A. R. Bishop, H. E. Nistazakis, R. Carretero-González

 Math. Comput. Simul. 69, 334-345 (2005) Special Issue on Nonlinear Waves: Computation and Theory III, (arXiv: cond-mat/0406656)

 

8. On the Modulational instability of the nonlinear Schrödinger equation with dissipation

 Z. Rapti, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed

 Phys. Scripta T113, 74-77 (2004) Topical Issue on Nonlinear Physics in Action, (arXiv:cond-mat/0404597)

 

7. Modulational instabilitity in Bose-Einstein condensates under Feshbach resonance management

 Z. Rapti, G. Theocharis, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed

 Phys. Scripta T107, 27-31 (2004) Topical Issue on Complex Plasmas in the New Millenium, (arXiv:cond-mat/0404664)

 
6.Fluctuation-induced local oscillations and fractal patterns in the lattice limit cycle model

 A. Provata, G. A. Tsekouras, F. K. Diakonos, D. J. Frantzeskakis, F. Baras, A. V. Shabunin, and V. Astakhov

 Fluct. Noise Lett. 3, L241-L250 (2003)

 

5. Stabilizing the Pereira-Stenflo solitons in nonlinear optical fibers

 N. Efremidis, K. Hizanidis, B. A. Malomed, H. E. Nistazakis, and D. J. Frantzeskakis

 Phys. Scripta T84, 18-21 (2000) Topical Issue on New Frontiers in Nonlinear Sciences

 

4. Dynamics of Pereira-Stenflo solitons in the presence of the third-order dispersion

 B. A. Malomed, D. J. Frantzeskakis, H. E. Nistazakis, A. Tsigopoulos and K. Hizanidis

 Phys. Scripta T82, 36-41 (1999) Topical Issue on Nonlinear Plasma Science

 

3. Relativistic theory of frequency blue-shift of an intense ionizing laser beam in a plasma

 K. Hizanidis, J. L. Vomvoridis, J. T. MendonÇa and D. J. Frantzeskakis

 IEEE Trans. Plasma Sci. 24, 323-330 (1996) Special Issue on 2nd Generation Plasma Accelerators

 

2. Frequency up-conversion of an intense laser beam producing gas ionization in a cavity

 K. Hizanidis, J. L. Vomvoridis, J. T. MendonÇa and D. J. Frantzeskakis

 J. Physique IV 5 (C6), 13-18 (1995) Special issue on Nonlinear Phenomena in Microphysics of Collisionless Plasmas.Application to Spaceand Laboratory  Plasmas

 

1. A slow-wave autonomous cyclotron buncher: Exact Hamiltonian analysis and simplified helical model,

 D. J. Frantzeskakis, K. Hizanidis and J. L. Vomvoridis

 Phys. Scripta T52, 40-50 (1994) Topical Issue on Acceleration and Radiation in Space and Laboratory Plasmas

 

Conference Proceedings published in books

29. Nonlinear Schrödinger equations with a four-well potential in two dimensions: bifurcations and stability analysis,

C. Wang, G. Theocharis, P. G. Kevrekidis, N. Whitaker, D. J. Frantzeskakis, and B. A. Malomed

Nonlinear Science and Complexity, J. A. Tenreiro Machado, A. C. J. Luo, R. S. Barbosa, M. F. Silva and L. B. Figueiredo (eds.),
pp. 173--180, Springer-Verlag, Dordrecht (2011)

 
28. Three-dimensional solitary waves and vortices in a discrete nonlinear Schrödinger lattice

 P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis and R. Carretero-González

 Etudes on Theoretical Physics, Collection of works dedicated to 65th anniversary of the Department of Τheoretical Physics of Belarusian State University,
 L. M. Barkovsky, I. D. Feranchuk, and Y. M. Shnir (eds.), pp. 251-259, World Scientific, Singapore (2004)

 
27. Introduction to Physics of Bose-Einstein condensates dilute alkali atoms

 D. J. Frantzeskakis 

Order and Chaos in Nonlinear Dynamical Systems, 9th Volume, T. Bountis and N. Vlachos (eds.),
 pp. 161-175, University of Thessalia Editions (2006) (in Greek)

 
26. Asymptotic methods for solitons in multi-dimensional systems

D. J. Frantzeskakis

Order and Chaos in Nonlinear Dynamical Systems, 8th Volume, T. Bountis and St. Pnevmaticos (eds.),
pp. 61-74, K. Sfakianaki Editions (2003) (in Greek)

 
 25. Mathematical modelling of nonlinear time-dispersive chiral media

 D. J. Frantzeskakis, I. G. Stratis and A. N. Yannacopoulos

Scattering and Biomedical Engineering. Modelling and Applications, D. Fotiadis and C. Massalas (eds.),
pp. 214-223, World Scientific Publishing, Singapore (2002)

 

24. Mathematical modelling of nonlinear time-dispersive chiral media

D. J. Frantzeskakis, I. G. Stratis and A. N. Yannacopoulos

Scattering and Biomedical Engineering. Modelling and Applications, D. Fotiadis and C. Massalas (eds.), pp. 214-223,
World Scientific Publishing, Singapore (2002) Proceedings of the Fifth International Workshop on Mathematical Methods in Scattering Theory
and Biomedical Technology held in Corfu, Greece, October 18-19 (2001)

 

 23. TDM and WDM with chirped solitons in optical transmission systems with distributed amplification

 K. Hizanidis, N. Efremidis, A. Stavdas, D. J. Frantzeskakis, H. E. Nistazakis and B. A. Malomed

 Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa (ed.), pp. 139-160 Kluwer Academic Publishers, Dordrecht, Netherlands (2000)

 

 22. Nonlinear waves and solitons in contemporary nonlinear optics,

 D. J. Frantzeskakis 

Proceedings of the 1st Interdisciplinary Symposium on Nonlinear Problems, 21-22 January (2000) NTU, Athens, Greece


21. Particle properties of Schrödinger solitons

D. J. Frantzeskakis

Order and Chaos in Nonlinear Dynamical Systems, 6th Volume, T. Bountis and St. Pnevmaticos (eds.),
pp. 163-184, G. A. Pnevmatikos Editions, Athens (2000) (in Greek)

 

 20. Introduction to Physics of Optical Solitons

 D. J. Frantzeskakis

 Order and Chaos in Nonlinear Dynamical Systems, 5th Volume, C. Polymilis, D. J. Frantzeskakis and K. Hizanidis (eds.),
 pp. 177-194, G. A. Pnevmatikos Editions, Athens (1999) (in Greek)

 

 19. Variational approach to transmission in DM long optical links

 K. Hizanidis, N. Efremidis, B. A. Malomed, H. E. Nistazakis and D. J. Frantzeskakis 

New Trends in Optical Soliton Transmission Systems, A.Hasegawa (ed.), pp. 117-129, Kluwer Academic Publishers, Dordrecht, Netherlands (1998)

 

18. Propagation of electromagnetic waves in non-linear dispersive media and in optical fibers

N. K. Uzunoglu, C. N. Capsalis, D. J. Frantzeskakis and C. Chronopoulos

Numerical Methods for Non-Linear Problems, C. Taylor, D. R. J. Owen, E. Hinton and F. B. Damjanic (eds.), Vol. 3,
pp. 1182-1191, Pineridge Press, Swansee, UK (1987)


 

Other Conference Proceedings

37. Oscillons and oscillating kinks in the Abelian-Higgs model 

C. E. Tsagkarakis, V. Achilleos, F. K. Diakonos, D. J. Frantzeskakis, G. C. Katsimiga, X. N. Maintas, E. Manousakis, and A. Tsapalis

Proc. of Science, CORFU2014, 122 (15 pages) (2015) (arXiv:1508.06209)

36. Discrete breathers, multibreathers and vortices in 2D dust crystals 

V. Koukouloyannis, P.G. Kevrekidis, I. Kourakis, D. Frantzeskakis, K.J.H. Law

Proceedings of the 35th EPS Conference on Plasma Physics (Crete, Greece, 9-13 June 2008), paper P4.162
EPS Conference Proceedings Volume 32D


35. Nonlinearity management in optics

M. A. Porter, M. Centurion, Ye Pu, P. G. Kevrekidis, D. J. Frantezeskakis, and D. Psaltis

PAMM – Proc. Appl. Math. Mech. 7, pp. 2030029-2030030 (2007)

 
34. Optical manipulation of matter-waves

 R. Carretero-González, P. G. Kevrekidis, D. J. Frantzeskakis, and B. A. Malomed

Proc. SPIE, Optical Trapping and Optical Micromanipulation II, K. Dholakia, G. C. Spalding (eds.)
Int. Soc. Opt. Eng. 5930, 59300L (2005) (11 pages)

 

 33. Solvability of an elliptic system appearing in magnetohydrodynamics

 D. J. Frantzeskakis, I. G. Stratis and A. N. Yannacopoulos

9th Hellenic Conference on Mathematical Analysis, Chania (2002)

 

32. Electrostatic effects on the quality of gyrotron beams

J. L. Vomvoridis, K. Hizanidis, I. G. Tigelis and D. J. Frantzeskakis

Proceedings of SPIE - The International Society for Optical Engineering (2104) pp. 460-461 (1993),
Infrared and Millimeter Waves, September 6-10, University of Essex, Colchester, United Kingdom

 

31. An autonomous beam buncher for Electron Cyclotron Maser applications

J. L. Vomvoridis, D. J. Frantzeskakis and K. Hizanidis

17th International Conference on Infrared and Millimeter Waves, December 14-17 (1992) California Institute of Technology, Pasadena, California, USA,
paper T8.10, Conf. Proceedings, pp. 270-271

 

30. Iterative solution of the problem of pulse propagation in an inhomogeneous nonlinear optical fiber by using the Inverse Scattering Method

P. V. Frangos, D. J. Frantzeskakis and C. N. Capsalis

3d International Symposium on Recent Advances in Microwave Technology, August 18-21 (1991) Reno, Nevada, USA, paper 16.5