Search Results - "Abdullaev, F.Kh"

Modulational instability and discrete breathers in the discrete cubic–quintic nonlinear Schrödinger equation by Abdullaev, F.Kh, Bouketir, A., Messikh, A., Umarov, B.A.

“…We investigate the properties of modulational instability and discrete breathers in the cubic–quintic discrete nonlinear Schrödinger equation. We analyze the…”
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Effects of time-periodic linear coupling on two-component Bose–Einstein condensates in two dimensions by Susanto, H., Kevrekidis, P.G., Malomed, B.A., Abdullaev, F.Kh

“…We examine two-component Gross–Pitaevskii equations with nonlinear and linear couplings, assuming self-attraction in one species and self-repulsion in the…”
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Soliton perturbations and the random Kepler problem by Abdullaev, F.Kh, Bronski, J.C, Papanicolaou, G

“…We consider the influence of randomly varying parameters on the propagation of solitons for the one-dimensional nonlinear Schrödinger equation. This models,…”
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Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling by Salerno, M., Abdullaev, F.Kh

“…We study localized nonlinear excitations of a dilute Bose–Einstein condensate (BEC) with spin–orbit coupling in a deep optical lattice (OL). For this we…”
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Nonlinearity managed vector solitons by Abdullaev, F.Kh, Yuldashev, J.S., Ögren, M.

“…The evolution of vector solitons under nonlinearity management is studied. The averaged over strong and rapid modulations in time of the inter-species…”
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Dynamics of localized waves in quasi-one-dimensional imbalanced binary Bose-Einstein condensates by Ismailov, K.K., Baizakov, B.B., Abdullaev, F.Kh, Salerno, M.

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Confinement of bright matter-wave solitons on top of a pedestal-shaped potential by Ismailov, K.K., Baizakov, B.B., Abdullaev, F.Kh

“…•We have shown that moving matter-wave solitons and breathers can be trapped on top of a pedestal-shaped potential for a sufficiently long time.•In the…”
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Dynamics and nonlinear modes of nonlinear saturable PT-symmetric coupler by Abdullaev, F.Kh, Abdumalikov, A.A.

“…The existence and stability of nonlinear stationary states in nonlinear saturable coupler with balanced gain–loss (the parity-time symmetric distribution) are…”
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Stationary wave packets in the Kerr nonlinear media with imaginary harmonic potential and linear gain by Abdullaev, F.Kh, Galimzyanov, R.M.

“…•Bright solitons exist in defocusing media with imaginary harmonic potential and gain.•Instability of wavepackets in imaginary potentials for focusing…”
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Management of solitons in medium with competing cubic and quadratic nonlinearities by Abdullaev, F.Kh, Yuldashev, J.S., Ögren, M.

“…Management of solitons in media with competing quadratic and cubic nonlinearities is investigated. Two schemes, using rapid modulations of a mismatch…”
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Optical solitons in periodically managed PT-symmetric media by Abdullaev, F.Kh, Galimzyanov, R.M.

“…The dynamics of light beams in the nonlinear optical media with periodically modulated in the longitudinal direction parity-time distribution of the complex…”
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Vibration spectrum of a two-soliton molecule in dipolar Bose–Einstein condensates by Turmanov, B.Kh, Baizakov, B.B., Umarov, B.A., Abdullaev, F.Kh

“…We study the vibration of soliton molecules in dipolar Bose–Einstein condensates by variational approach and numerical simulations of the nonlocal…”
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Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion by Al Khawaja, U., Al-Marzoug, S.M., Bahlouli, H., Abdullaev, F.Kh

“…•Performed a time-dependent modulational instability (MI) analysis of the Kuznetsov-Ma (KM) breather.•Studied MI of the KM breather in terms of time and…”
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Quasi 1D Bose–Einstein condensate flow past a nonlinear barrier by Abdullaev, F.Kh, Galimzyanov, R.M., Ismatullaev, Kh.N.

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Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices by Susanto, H., Kevrekidis, P.G., Abdullaev, F.Kh, Malomed, Boris A.

“…We introduce a system of two linearly coupled discrete nonlinear Schrödinger equations (DNLSEs), with the coupling constant subject to a rapid temporal…”
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Modulational instability of matter waves under strong nonlinearity management by Abdullaev, F.Kh, Abdumalikov, A.A., Galimzyanov, R.M.

“…We study modulational instability of matter-waves in Bose–Einstein condensates (BEC) under strong temporal nonlinearity-management. Both BEC in an optical…”
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Stability analysis of the D-dimensional nonlinear Schrödinger equation with trap and two- and three-body interactions by Gammal, A, Frederico, T, Tomio, Lauro, Abdullaev, F.Kh

“…Considering the static solutions of the D-dimensional nonlinear Schrödinger equation with trap and attractive two-body interactions, the existence of stable…”
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Macroscopic quantum tunneling and resonances in coupled Bose–Einstein condensates with oscillating atomic scattering length by Abdullaev, F.Kh, Kraenkel, R.A

“…We study the macroscopic quantum tunneling, self-trapping phenomena in two weakly coupled Bose–Einstein condensates with periodically time-varying atomic…”
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Coupled-mode theory for Bose–Einstein condensates with time dependent atomic scattering length by Abdullaev, F.Kh, Shaari, J.S., Wahiddin, M.R.B.

“…We study nonlinear tunnelling and localization phenomena in Bose–Einstein condensate in a double-well potential, using a coupled-mode theory. We consider the…”
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Autosoliton in Ablowitz–Ladik chain with linear damping and nonlinear amplification by Abdullaev, F.Kh, Abdumalikov, A.A, Umarov, B.A

“…The existence of discrete autosolitons in a nonlinear lattice is studied. The Ablowitz–Ladik (AL) model with linear damping, nonlinear cubic amplification and…”
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