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المؤلفAnastassi, Z.A.
المؤلفFotopoulos, G.
المؤلفFrantzeskakis, D.J.
المؤلفHorikis, T.P.
المؤلفKarachalios, N.I.
المؤلفKevrekidis, P.G.
المؤلفStratis, I.G.
المؤلفVetas, K.
تاريخ الإتاحة2020-11-19T08:53:09Z
تاريخ النشر2017
اسم المنشورPhysica D: Nonlinear Phenomena
المصدرScopus
الرقم المعياري الدولي للكتاب1672789
معرّف المصادر الموحدhttp://dx.doi.org/10.1016/j.physd.2017.06.003
معرّف المصادر الموحدhttp://hdl.handle.net/10576/17000
الملخصWe consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynamical regimes (depending on the gain/loss strengths), for finite-time collapse, decay, and global existence of solutions. Then, for all the above parametric regimes, we use direct numerical simulations to study the dynamics corresponding to algebraically decaying initial data. We identify crucial differences between the dynamics of vanishing initial conditions, and those converging to a finite constant background: in the former (latter) case we find strong (weak) collapse or decay, when the gain/loss parameters are selected from the relevant regimes. One of our main results, is that in all the above regimes, non-vanishing initial data transition through spatiotemporal, algebraically decaying waveforms. While the system is nonintegrable, the evolution of these waveforms is reminiscent to the evolution of the Peregrine rogue wave of the integrable NLS limit. The parametric range of gain and loss for which this phenomenology persists is also touched upon.
راعي المشروعWe would like to thank the referees for valuable comments. The authors Z.A.A., G.F., D.J.F., N.I.K., P.G.K., I.G.S. and K.V., acknowledge that this work wasmade possible by NPRP grant # [ 8-764-160 ] from Qatar National Research Fund (a member of Qatar Foundation). The findings achieved herein are solely the responsibility of the authors. D.J.F. and P.G.K. gratefully acknowledge the support of the "Greek Diaspora Fellowship Program" of Stavros Niarchos Foundation. Appendix A
اللغةen
الناشرElsevier B.V.
الموضوعGain/loss
NLS equation
Nonlinear optics
Rogue waves
العنوانSpatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
النوعArticle
الصفحات24-33
رقم المجلد355
dc.accessType Abstract Only


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