Now showing items 1-14 of 14

    • Asymmetric spatio-temporal optical solitons in media with quadratic nonlinearity 

      Mihalache, Dumitru; Mazilu, D; Malomed, B A; Torner Sabata, Lluís (1998-07)
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      We find exact one-parameter families of stationary two-dimensional light bullets in the form of solitons localized in space and time in diffractive and dispersive nonlinear media under conditions for second-harmonic ...
    • Gap solitons on a ring 

      Kartashov, Yaroslav V.; Malomed, B A; Vysloukh, Victor A.; Torner Sabata, Lluís (2008-12)
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      We introduce a new species of gap solitons (GSs) supported by an azimuthally modulated guiding ring in defocusing cubic media. The periodicity in the azimuthal direction strongly modifies properties and existence domains ...
    • Multipole-mode solitons in Bessel optical lattices 

      Kartashov, Yaroslav V.; Carretero Gonzalez, R; Malomed, B A; Vysloukh, Victor A.; Torner Sabata, Lluís (2005-12)
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      We study basic properties of quiescent and rotating multipole-mode solitons supported by axially symmetric Bessel lattices in a medium with defocusing cubic nonlinearity. The solitons can be found in different rings of the ...
    • Soliton clusters in 3D media with competing cubic and quintic nonlinearities 

      Mihalache, Dumitru; Mazilu, D; Crasovan, L C; Malomed, B A; Lederer, F; Torner Sabata, Lluís (2004-04)
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      We introduce a class of robust soliton clusters composed of N fundamental solitons in three-dimensional media combining the self-focusing cubic and self-defocusing quintic nonlinearities. The angular momentum is lent to ...
    • Spatiotemporal optical solitons 

      Malomed, B A; Mihalache, Dumitru; Wise, F; Torner Sabata, Lluís (2005-04)
      Article
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      In the course of the past several years, a new level of understanding has been achieved about conditions for the existence, stability, and generation of spatiotemporal optical solitons, which are nondiffracting and ...
    • Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity 

      Kartashov, Yaroslav; Malomed, B A; Vysloukh, Victor A.; Torner Sabata, Lluís (2009-11)
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      We consider necklace solitons supported by circular waveguide arrays with out-of-phase modulation of nonlinearity and linear refractive index. Such two-dimensional necklace solitons appear as rings of multiple out-of-phase ...
    • Stable 3D solitons supported by competing quadratic and self-focusing cubic nonlinearities 

      Mihalache, Dumitru; Mazilu, D; Malomed, B A; Lederer, F; Crasovan, L -C; Kartashov, Yaroslav V.; Torner Sabata, Lluís (2006-10)
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      We show that the quadratic (¿(2)) interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-focusing cubic (¿(3)) nonlinearity, give rise to stable three-dimensional spatiotemporal ...
    • Stable 3D spinning optical solitons supported by competing quadratic and cubic nonlinearities 

      Mihalache, Dumitru; Mazilu, D; Crasovan, L C; Towers, I; Malomed, B A; Buryak, A V; Torner Sabata, Lluís; Lederer, F (2002-09)
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      We show that the quadratic interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-defocusing cubic nonlinearity, gives rise to completely localized spatiotemporal solitons (vortex ...
    • Stable solitons of even and odd parities supported by competing nonlocal nonlinearities 

      Mihalache, Dumitru; Mazilu, D; Lederer, F; Crasovan, L -C; Kartashov, Yaroslav V.; Torner Sabata, Lluís; Malomed, B A (2006-12)
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      We introduce a one-dimensional phenomenological model of a nonlocal medium featuring focusing cubic and defocusing quintic nonlocal optical nonlinearities. By means of numerical methods, we find families of solitons of two ...
    • Stable spatiotemporal solitons in Bessel optical lattices 

      Mihalache, Dumitru; Mazilu, D; Lederer, F; Malomed, B A; Kartashov, Yaroslav V.; Crasovan, L C; Torner Sabata, Lluís (2005-08)
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      We investigate the existence and stability of three-dimensional solitons supported by cylindrical Bessel lattices in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using ...
    • Stable three-dimensional solitons in attarctive Bose-Einstein condensates loaded in an optical lattice 

      Mihalache, Dumitru; Mazilu, D; Lederer, F; Malomed, B A; Crasovan, L C; Kartashov, Yaroslav V.; Torner Sabata, Lluís (2005-08)
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      The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional (3D) periodic potential, are investigated ...
    • Stable vortex tori in the three-dimensional cubic-quintic Ginzburg-Landau equation 

      Mihalache, Dumitru; Mazilu, D; Lederer, F; Kartashov, Yaroslav V.; Crasovan, L -C; Torner Sabata, Lluís; Malomed, B A (2006-08)
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      We demonstrate the existence of stable toroidal dissipative solitons with the inner phase field in the form of rotating spirals, corresponding to vorticity S=0, 1, and 2, in the complex Ginzburg-Landau equation with the ...
    • Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media 

      Mihalache, Dumitru; Mazilu, D; Lederer, F; Malomed, B A; Kartashov, Yaroslav V.; Crasovan, L C; Torner Sabata, Lluís (2006-01)
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      We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation ...
    • Two-dimensional solitons in nonlinear lattices 

      Kartashov, Yaroslav V.; Malomed, B A; Vysloukh, Victor A.; Torner Sabata, Lluís (2009-03)
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      We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, ...