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2014 | 12 | 12 | 830-835
Tytuł artykułu

Exact solutions for bright and dark solitons in spatially inhomogeneous nonlinearity

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present exact analytical results for bright and dark solitons in a type of one-dimensional spatially inhomogeneous nonlinearity. We show that the competition between a homogeneous self-defocusing (SDF) nonlinearity and a localized self-focusing (SF) nonlinearity supports stable fundamental bright solitons. For a specific choice of the nonlinear parameters, exact analytical solutions for fundamental bright solitons have been obtained. By applying both variational approximation and Vakhitov-Kolokolov stability criterion, it is found that exact fundamental bright solitons are stable. Our analytical results are also confirmed numerically. Additionally, we show that a homogeneous SF nonlinearity modulated by a localized SF nonlinearity allows the existence of exact dark solitons, for certain special cases of nonlinear parameters. By making use of linear stability analysis and direct numerical simulation, it is found that these exact dark solitons are linearly unstable.
Wydawca

Czasopismo
Rocznik
Tom
12
Numer
12
Strony
830-835
Opis fizyczny
Daty
wydano
2014-12-01
online
2014-08-27
Bibliografia
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  • [11] V. E. Lobanov, O. V. Borovkova, Y. V. Kartashov, B. A. Malomed, L. Torner, Opt. Lett. 37, 1799 (2012) http://dx.doi.org/10.1364/OL.37.001799[Crossref]
  • [12] Y. V. Kartashov, V. E. Lobanov, B. A. Malomed, L. Torner, Opt. Lett. 37, 5000 (2012) http://dx.doi.org/10.1364/OL.37.005000[Crossref]
  • [13] Y. Wu, Q. Xie, H. Zhong, L. Wen, Wenhua Hai, Phys. Rev. A 87, 055801 (2013) http://dx.doi.org/10.1103/PhysRevA.87.055801[Crossref]
  • [14] R. Driben, Y. V. Kartashov, B. A. Malomed, T. Meier, L. Torner, Phys. Rev. Lett. 112, 020404 (2014) http://dx.doi.org/10.1103/PhysRevLett.112.020404[Crossref]
  • [15] Y. V. Kartashov, V. A. Vysloukh, L. Torner, B. A. Malomed, Opt. Lett. 36, 4587 (2011) http://dx.doi.org/10.1364/OL.36.004587[Crossref]
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  • [19] W. B. Cardoso, J. Zeng, A. T. Avelar, D. Bazeia, B. A. Malomed, Phys. Rev. E 88, 025201 (2013) http://dx.doi.org/10.1103/PhysRevE.88.025201[Crossref]
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0517-0
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