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2009
Solitons in the Tonks - Girardeau gas with dipolar interactions,
B. B. Baizakov, F. Kh. Abdullaev, B. A. Malomed, and M. Salerno,
J. Phys. B: At. Mol. Opt. Phys. 42, 175302 (2009). [Abstract] [PDF-file (1.92 MB) ]
Soliton dynamics at an interface between a uniform medium and a nonlinear optical lattice ,
Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov, Marijana Brtka, and Lauro Tomio,
Phys. Rev. E 79, 056220 (2009). [Abstract] [PDF-file (280 kB) ]
Modulational instability of matter waves under strong nonlinearity management,
F. Kh. Abdullaev, A. A. Abdumalikov, R. M. Galimzyanov,
Physica D 238, 1345 (2009). [Abstract] [PDF-file (1 MB)]
Matter-wave vortices and solitons in anisotropic optical lattices,
T. Mayteevarunyoo, B. A. Malomed, B. B. Baizakov, and M. Salerno,
Physica D 238, 1439 (2009). [Abstract] [PDF-file (2.37 MB)]
Modulational instability in two-component discrete media with cubic-quintic nonlinearity,
B. B. Baizakov, A. Bouketir, A. Messikh, and B. A. Umarov,
Phys. Rev. E 79, 046605 (2009). [Abstract] [PDF-file (2.45 MB)]
Gap-Townes solitons and delocalizing transitions of multidimensional Bose-Einstein condensates in optical lattices,
M. Salerno, F. Kh. Abdullaev and B. B. Baizakov,
In "Self-Organization of Molecular Systems: From Molecules and Clusters to Nanotubes and Proteins", N. Russo et al. (Eds.), NATO Science for Peace and Security Series A: Chemistry and Biology, Springer, pp. 345 – 357 (2009) . [Abstract] [PDF-file (4.39 MB)]
2008
Matter sound waves in two-component BoseEinstein condensates,
B. B. Baizakov, A. M. Kamchatnov and M. Salerno,
J. Phys. B: At. Mol. Opt. Phys. 41, 215302 (2008). [Abstract] [PDF-file (1.72 MB)]
Collective excitations of BEC under anharmonic trap position jittering,
F. Kh. Abdullaev, R. M. Galimzyanov, and Kh. N. Ismatullaev,
J. Phys. B 41, 015301 (2008).
Effects of time-periodic linear coupling on two-component Bose-Einstein condensates in two dimensions,
H. Susanto, P. Kevrekidis, B. A. Malomed, F. Kh. Abdullaev,
Phys .Lett. A 372,1631-1638 (2008). [Abstract] [PDF-file (679 kB)]
Generalized neighbor-interaction models induced by nonlinear lattices,
F. Kh. Abdullaev, Y. Bludov, S. Dmitriev, P. Kevrekidis and V.V. Konotop,
Phys. Rev. E 77, 016604 (2008). [Abstract] [PDF-file (973 kB)]
Bright solitons in Bose-Einstein condensate (review article),
F.Kh. Abdullaev and J. Garnier,
In the book "Emergent Nonlinear Phenomena in Bose-Einstein Condensates", D. Frantzeskakis and P. Kevrekidis (Eds.), Springer - Verlag, pp 25-44 (2008).
Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices,
F. Kh. Abdullaev, A. Gammal, M. Salerno, and L. Tomio,
Phys. Rev. A 77, 023615 (2008). [Abstract] [PDF-file (902 kB)]
Gap-soliton trapping in random one-dimensional gratings,
E. N. Tsoy, C. M. de Sterke, F. Kh. Abdullaev,
Phys. Rev. A 78, 031803(R) (2008). [Abstract] [PDF-file (185 kB)]
Tunable narrow-band spectral peak imposed onto a soliton with an acoustic
long-period grating,
J. A. Bolger , F. Luan, Dong-Il Yeom, E. N. Tsoy, C. M. de Sterke, B. J. Eggleton,
Proc. of the SPIE, 6801, p. 68010B (2008). [Abstract] [PDF-file (326 kB)]
Oscillations of the soliton parameters in nonlinear interference phenomena,
E. N. Tsoy and C. M. de Sterke,
Phys. Lett. A, 372, N 11, 1856-1861 (2008). [Abstract] [PDF-file (278 kB)]
2007
Theoretical analysis of self-frequency shift near zero-dispersion points:
Soliton spectral tunneling,
E. N. Tsoy and C. M. de Sterke,
Phys. Rev. A 76, N.4, 043804 (2007). [Abstract] [PDF-file (642 kB)]
Dissipative dynamics of matter-wave solitons in a nonlinear optical lattice,
F. Kh. Abdullaev, A. Gammal, H. Luz, and L. Tomio,
Phys. Rev. A 76, 043611 (2007). [Abstract] [PDF-file (279 kB)]
Dynamical localization of matter wave solitons in managed barrier potentials,
F. Kh. Abdullaev and J. Garnier,
Phys. Rev. A 75, N.2, 033603 (2007). [Abstract] [PDF-file (467 kB)]
Moving and colliding pulses in the subcritical Ginzburg-Landau model with a standing-wave drive,
B. B. Baizakov, G. Filatrella, and B. A. Malomed,
Phys. Rev. E 75, 036604 (2007). [Abstract] [PDF-file (220 kB)]
Solitons in strongly driven discrete nonlinear Schrodinger - type models,
J. Garnier, F. Kh. Abdullaev, and M. Salerno,
Phys. Rev. E 75, 016615 (2007). [Abstract] [PDF-file (269 kB)]
Gap solitons in Bose-Einstein condensates in linear-nonlinear optical lattices,
F. Kh. Abdullaev, A. A. Abdumalikov, and R. Galimzyanov,
Phys. Lett. A 367, 149 (2007). [Abstract] [PDF-file (339 kB)]
Discrete breathers in Bose-Einstein condensates with three body interactions in optical lattice,
F. Kh. Abdullaev, A. Bouketir, A. Messikh, and B. A. Umarov,
Physica D 232, 54 (2007). [Abstract] [PDF-file (339 kB)]
Tunable enhancement of a soliton spectrum using an acoustic long-period grating,
J. A. Bolger, F. Luan, D.-I. Yeom, E. N. Tsoy, C. M. de Sterke, and B. J. Eggleton,
Opt. Express 15, 13457-13462 (2007). [Abstract] [PDF-file (229 kB)]
2006
Collective oscillations of a quasi one-dimensional Bose gas under damping,
F. Kh. Abdullaev, R. M. Galimzyanov, and Kh. Ismatullaev,
Phys. Lett. A 357, 48 (2006). [Abstract] [PDF-file (212 kB)]
Matter-wave solitons in radially periodic potentials,
B. B. Baizakov, B. A. Malomed and M. Salerno,
Phys. Rev. E 74, 066615 (2006). [Abstract] [PDF-file (1.20 MB)]
Transmission of matter wave solitons through nonlinear traps and barriers,
F. Kh. Abdullaev and J. Garnier,
Phys. Rev. A 74, 013604 (2006). [Abstract] [PDF-file (120 kB)]
Multidimensional semi-gap solitons in a periodic potential,
B. B. Baizakov, B. A. Malomed and M. Salerno,
Eur. Phys. J. D 38, 367 (2006). [Abstract] [PDF-file (660 kB)]
Dynamics and interaction of pulses in the modified Manakov model,
E. N. Tsoy and N. Akhmediev,
Opt. Comm. 266 (2), 660-668 (2006). [Abstract] [PDF-file (382 kB)]
Dynamics of ultrashort pulses near zero dispersion wavelength,
E. N. Tsoy and C. M. de Sterke,
J. Opt. Soc. Am. B, 23, N.11, 2425-2433 (2006). [Abstract] [PDF-file (148 kB)]
Adiabatic N - soliton interactions of Bose-Einstein condensates in external potentials,
V. S. Gerdjikov, B. B. Baizakov, M. Salerno, and N. A. Kostov,
Phys. Rev. E 73, 046606 (2006). [Abstract] [PDF-file (261 kB)]
Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation,
E. N. Tsoy, A. Ankiewicz, N. Akhmediev,
Phys. Rev. E 73, (3) 036621 (2006). [Abstract] [PDF-file (362 kB)]
2005
Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model,
F. Kh. Abdullaev and J. Garnier,
Phys. Rev. E 72, 035603(R) (2005). [Abstract] [PDF-file (94 kB)]
Gap-Townes solitons and localized excitations of low-dimensional Bose-Einstein condensates in optical lattices,
F. Kh. Abdullaev and M. Salerno,
Phys. Rev. A 72, 033617 (2005). [Abstract] [PDF-file (206 kB)]
Ising-Bloch transition for the parametric Ginzburg-Landau equation with rapidly varying perturbations,
D. Mihaelis, F. Kh. Abdullaev, S. A. Darmanyan, and F. Lederer,
Phys. Rev. E 71, 056205 (2005). [Abstract] [PDF-file (186 kB)]
A double parametric resonance for matter-wave solitons in a time - modulated trap,
B. Baizakov, G. Filatrella, B. Malomed, and M. Salerno,
Phys. Rev. E 71, 036619 (2005). [Abstract] [PDF-file (133 kB)]
Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap,
J. Garnier and F. Kh. Abdullaev,
Phys. Rev. A 71, 033603 (2005). [Abstract] [PDF-file (133 kB)]
Modelling adiabatic N-soliton interactions and perturbations,
V. S. Gerdjikov, B. B. Baizakov and M. Salerno,
Theor. Math. Phys. 144, 1138 (2005). [Abstract] [PDF-file (401 kB)]
On Modelling Adiabatic N-soliton Interactions and Perturbations. Effects of external potentials,
V. Gerdjikov and B. Baizakov,
In "Gravity, astrophysics and strings at the Black sea", P. P. Fiziev, M. D. Todorov (Eds.), St. Kliment Ohridski University Press, Sofia, Bulgaria, pp. 150 – 161 (2005). [Abstract] [PDF-file (648 kB)]
Coupled-mode theory for Bose–Einstein condensates with time dependent atomic scattering length,
F. Kh. Abdullaev, S. Jesni, and M. R. Wahiddin,
Phys. Lett. A 345, 237 (2005). [Abstract] [PDF-file (196 kB)]
Bose-Einstein condensate with inhomogeneous scattering length in one and two dimensions,
F. Kh. Abdullaev, V. Filho, A. Gammal, and L. Tomio,
Physics of Particles and Nuclei, 36, Suppl.2, pp.S213-216 (2005). [Abstract] [PDF-file (183 kB)]
Interaction of solitons in elongated BEC with time-dependent trap
V. Barros, M. Brtka, A. Gammal, and F. Kh. Abdullaev,
J. Phys. B 38, 4111 (2005). [Abstract] [PDF-file (700 kB)]
Propagation of matter wave solitons in periodic and random nonlinear potentials,
F. Kh. Abdullaev and J. Garnier,
Phys. Rev. A 72, 061605(R) (2005). [Abstract] [PDF-file (161 kB)]
Bifurcations from stationary to pulsating solitons in the cubic-quintic complex Ginzburg-Landau equation,
E. N. Tsoy and N. Akhmediev,
Phys. Lett. A 343, N.6, 417-422 (2005). [Abstract] [PDF-file (159 kB)]
Soliton compression and pulse-train generation by use of microchip Q-switched pulses in Bragg gratings,
J. T. Mok, I. C. M. Littler, E. N. Tsoy, B. J. Eggleton,
Opt. Lett. 30, N.18, 2457-2459 (2005). [Abstract] [PDF-file (278 kB)]
2004
Optical pulse propagation in fibers with random dispersion,
F. Kh. Abdullaev, D. Navotny, and B. B. Baizakov,
Physica D 192, 83-94 (2004). [Abstract] [PDF-file (204 kB)]
Resonances in a trapped 3D Bose–Einstein condensate under periodically varying atomic scattering length,
F. Kh. Abdullaev, R. G. Galimzyanov, M. Brtka, and R. A. Kraenkel,
J. of Phys. B 37, 3535-3550 (2004). [Abstract] [PDF-file (337 kB)]
Dynamics of bright matter waves solitons in Bose-Einstein condensate with
inhomogeneous scattering length,
F. Kh. Abdullaev, A. Gammal and L. Tomio,
J. of Phys. B 37, 635–651 (2004). [Abstract] [PDF-file (266 kB)]
Quantum Coherent Tunnelling between two Atomic-Molecular Bose-Einstein Condensates,
F. Kh. Abdullaev, R. A. Kraenkel and B. A. Umarov,
Europ. J. Phys. D 30, 369 (2004).
Collective oscillations of one-dimensional Bose-Einstein gas under time-varying trap potential and atomic scattering length,
F. Kh. Abdullaev and J.Garnier,
Phys. Rev. A 70, 053604 (2004). [Abstract] [PDF-file (227 kB)]
Multidimensional solitons in a low dimensional periodic potential,
B. B. Baizakov, B. A. Malomed, and M. Salerno,
Phys. Rev. A 70, 053613 (2004). [Abstract] [PDF-file (496 kB)]
Collapse of the Bose-Einstein condensate induced by fluctuations of the laser intensity,
J. Garnier, F. Kh. Abdullaev, and B. B. Baizakov,
Phys. Rev. A 69, 053607 (2004). [Abstract] [PDF-file (376 kB)]
Delocalizing transition of multidimensional solitons in Bose-Einstein condensates,
B. B. Baizakov and M. Salerno,
Phys. Rev. A 69, 013602 (2004). [Abstract] [PDF-file (314 kB)]
Bose–Einstein condensates in 2D with time-periodic scattering length,
F. Kh. Abdullaev, J. G. Caputo, B. A. Malomed and R. A. Kraenkel,
J. Low. Temp. Phys. 134, 671 (2004).
On the solution of multicomponent nonlinear Schroedinger equations,
T. Kanna, E. N. Tsoy, and N. Akhmediev,
Physics Letters A 330, 224-229 (2004). [Abstract] [PDF-file (149 kB)]
Multidimensional solitons and vortices in periodic potentials,
B. B. Baizakov, M. Salerno, and B. A. Malomed,
In "Nonlinear Waves: Classical and Quantum Aspects", F. Kh. Abdullaev and V. V. Konotop (Eds.), NATO Science Series: II. Mathematics, Physics and Chemistry - Vol. 153, pp. 61 – 80 (Kluwer, Dordrecht, 2004).
[Abstract] [PDF-file (4 MB)]
2003
Stable two-dimensional dispersion-managed soliton,
F. Kh. Abdullaev, B. B. Baizakov and M. Salerno,
Phys.Rev. E 68, 066605 (2003).
Array of Bose-Einstein condensates under time-periodic
Feshbach-resonance management,
F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, and R. A. Kraenkel,
Phys. Rev. A, 68, 053606 (2003).
Intrinsic localized modes in array of atom-molecular Bose-Einstein condensates,
F. Kh. Abdullaev and V. V. Konotop,
Phys. Rev. A 68, N.1, 013605 (2003).
Interaction of pulses in the nonlinear Schroedinger model,
E. N. Tsoy and F. Kh. Abdullaev,
Phys. Rev. E. 67, 056610 (2003).
Soliton dynamics in a random Toda chain,
J. Garnier and F. Kh. Abdullaev,
Phys.Rev. E 67, 026609 (2003).
Controllable dynamics of BEC with varying atomic scattering length,
F. Kh. Abdullaev, J. G. Caputo, R. Kraenkel, B. Malomed,
Phys. Rev. A 67, 013606 (2003).
A statistical approach of the decay of a soliton in a randomly perturbed Toda chain,
J. Garnier and F.Kh. Abdullaev,
JHEP, Proceedings, (2003).
Dynamics of 2D Bose-Einstein condensate with time-varying atomic scattering length,
F. Kh. Abdullaev, J. C. Bronski, and R. Galimzyanov,
Physica D 184, (1-4), 319-332 (2003).
Adiabatic evolution of periodic waves in Bose-Einstein condensate,
F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop and V. Brazhnii,
Phys. Rev. Lett. 90, 0230402 (2003).
Multidimensional solitons in periodic potentials,
B. B. Baizakov, B. A. Malomed, and M. Salerno
Europhys. Lett. 63, 642 - 648, (2003).
Coherent structures of Bose-Einstein condensates in optical lattices,
B. B. Baizakov, V. V. Konotop, and M. Salerno,
In "Highlights in Condensed Matter Physics", (edited by A. Avella et al.), pp. 126 - 134 (AIP, New York, 2003).
Adiabatic compression of soliton matter waves,
F. Kh. Abdullaev and M. Salerno,
J. of Phys. B 36, 2851 (2003). [Abstract] [PDF-file (155 kB)]
The dynamics of bright matter wave solitons in a quasi-one-dimensional Bose–Einstein condensate with a rapidly varying trap,
F. Kh. Abdullaev and R. Galimzyanov,
J. of Phys. B 36, 1099 (2003). [Abstract] [PDF-file (174 kB)]
2002
Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability,
B. B. Baizakov, V. V. Konotop, and M. Salerno,
J. Phys. B: At. Mol. Opt. Phys. 35, 5105 – 5119, (2002).
Formation of soliton trains in Bose-Einstein condensate as a nonlinear
Fresnel diffraction of matter waves,
A. Kamchatnov, A. Gammal, F. Kh. Abdullaev and R. Kraenkel,
Phys.Lett. A 319, 406-412 (2003).
Light trapping in a fiber grating defect by four-wave mixing,
C. M. de Sterke, E. N. Tsoy and J.E. Sipe,
Opt. Lett. 27, N.7, 485-487 (2002).
The evolution of optical beams in self-focusing media,
F. Kh. Abdullaev and E. N. Tsoy,
Physica D 161, n.1-2, 67-78 (2002).
Bloch walls in strongly driven easy plane ferromagnets,
A. Kirakosyan, F.Kh. Abdullaev, and R. Galimzyanov,
Phys.Rev. B 65, 094411 (2002).
Dispersion-managed solitons in fibers with random dispersion,
F. Kh. Abdullaev and D. V. Navotny,
Technical Physics Letters, 28, 942-944 (2002).
Autosoliton in Ablowitz-Ladik chain with linear damping and nonlinear amplification,
F. Kh. Abdullaev, A. A. Abdumalikov and B. A. Umarov,
Phys. Lett. A 305/6, 371-376 (2002).
2001
Green function method for nonlinear elastic waves in layered media,
A. E. Lobo , E. N. Tsoy and C. M. de Sterke,
J. Appl. Phys. 90, N8, 3762-3770 (2001).
Nonlinear excitations in arrays of Bose-Einstein condensates,
F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan and V. V. Konotop, M. Salerno,
Phys. Rev. A 64, N.4, 043606 (2001).
Oscillations in a chain of rod-shaped colloidal particles in a plasma,
S. V. Vladimirov and E. N. Tsoy,
Phys. Rev. E 64, p. 035402(R) (2001).
Influence of two-photon absorption on modulational instability,
E. N. Tsoy, C. M. de Sterke C.M., and F. Kh. Abdullaev,
J. Opt. Soc. Am. B 18, N.8, 1144-1149 (2001).
Soliton dynamics in non-uniform fiber Bragg gratings,
E. N. Tsoy and C. M. de Sterke,
J. Opt. Soc.Am. B 18, N1, pp.1-6 (2001).
Role of polarization mode dispersion on modulational instability in optical fibers,
J. Garnier, F. Kh. Abdullaev, E. Seve, and S. Wabnitz,
Phys. Rev. E 63 , 066616 (2001).
Autosolitons in the Bose-Einstein condensate with two and three body relaxations,
V. Filho, F. Kh. Abdullaev, A.Gammal, L.Tomio,
Phys. Rev. A 63 , 053603 (2001).
Stability of trapped Bose-Einstein condensates,
F. Kh. Abdullaev, A. Gammal, L. Tomio, T. Frederico,
Phys. Rev. A 63 , 043604 (2001).
Dynamics of Bose-Einstein Condensate in Optical Trap,
F. Kh. Abdullaev, B. B. Baizakov, V. V. Konotop,
In "Nonlinearity and Disorder:Theory and Applications", Eds. F. Kh. Abdullaev, O. Bang, and M. P. Soerensen, pp. 69 - 78 (Kluwer AP, Dordrecht, 2001).
Spatial solitons in random quadratic media,
A. Kobyakov, F.Kh. Abdullaev, S.A. Darmanyan, E. Schmidt, F.Lederer,
In "Nonlinearity and Disorder;Theory and Applications", Eds. F. Kh. Abdullaev, O. Bang, and M. P. Soerensen, (Kluwer AP, Dordrecht, 2001).