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20002023
most citedSolitons in PT-symmetric nonlinear lattices

303 citations · 3k across the 67 of their papers we have counts for

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cond-mat.soft2003★ 171 cited

Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length

F. Kh. Abdullaev, A. M. Kamchatnov, V. V. Konotop +1

Evolution of periodic matter waves in one-dimensional Bose-Einstein condensates with time dependent scattering length is described. It is shown that variation of the effective nonl…

cond-mat.soft2003★ 55 cited

Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed +1

The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length (``Feshbach-resonance managem…

cond-mat.soft2003★ 45 cited

Stable two-dimensional dispersion-managed soliton

F. Kh. Abdullaev, B. B. Baizakov, M. Salerno

The existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for t…

cond-mat.soft2002★ 3 cited

Dynamics of bright matter-wave solitons in inhomogeneous cigar-type Bose-Einstein condensate

F. Kh. Abdullaev, A. Gammal, L. Tomio

We discuss the possible observation of a new type of standing nonlinear atomic matter wave in the condensate: the nonlinear impurity mode. It is investigated dynamical effects of a…

cond-mat.soft2002★ 64 cited

Dynamics of bright matter wave solitons in a quasi 1D Bose-Einstein condensate with a rapidly varying trap

F. Kh. Abdullaev, R. Galimzyanov

The dynamics of a bright matter wave soliton in a quasi 1D Bose-Einstein condensate with periodically rapidly varying trap is considered. The governing equation is derived based on…

cond-mat.soft2001★ 285 cited

Nonlinear excitations in arrays of Bose-Einstein condensates

F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan +2

The dynamics of localized excitations in array of Bose-Einstein condensates is investigated in the framework of the nonlinear lattice theory. The existence of temporarily stable gr…