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The dissipative dynamic stability is investigated of dark solitons
in elongated Bose--Einstein condensates that can be described by the
Gross--Pitaevskii equation including an additional term. Based on
the direct perturbation theory for the nonlinear Schr?dinger
equation, the dependence of the soliton velocity on time is
explicitly given, and the shape of dark solitons remaining unchanged
under the dissipative condition is confirmed theoretically for the
first time. It is found that the dynamically stable dark solitons
turn out to be thermodynamically unstable. 相似文献
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Using the direct soliton perturbation theory, we investigate the evolution of soliton parameters and the firstorder correction of bright soliton in a system with linear and nonlinear gain (or loss) and spectral filtering in a comprehensive way. The results obtained by means of our analytic method are consistent with numerical simulations. It is also found that the stable soliton propagation which has been investigated in a previous report by others is the limit case of our results. 相似文献
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Stability of dark soliton solutions of the quintic complex Ginzburg--Landau equation inthe case of normal dispersion 下载免费PDF全文
Dark soliton solutions of the one-dimensional complex Ginzburg--Landau equation
(CGLE) are analysed for the case of normal group-velocity dispersion. The CGLE can
be transformed to the nonlinear Schr\"{o}dinger equation (NLSE) with perturbation
terms under some practical conditions. The main properties of dark solitons are
analysed by applying the direct perturbation theory of the NLSE. The results
obtained may be helpful for the research on the optical soliton transmission system. 相似文献
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The propagation of dark solitons in nonlinear media that include gain and Joss described by a nonlinear Schroedinger equation is investigated. Based on the direct approach of perturbation theorv, the width, height and other related quantities of dark solitons are obtained. It is shown that stationarv propagation of dark solitons is found to be possible in the presence of both gain and absorption. The results obtained by means of our analytic method are in excellent agreement with numerical simulations. Our results are helpful for the research into the optical soliton transmission system. 相似文献
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