Now showing items 1-20 of 22

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

    Mihalache, Dumitru; Mazilu, D; Malomed, B A; Torner Sabata, Lluís (1998-07)
    Article
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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 ...
  • Elliptical light bullets 

    Mihalache, Dumitru; Mazilu, D; Dorring, J; Torner Sabata, Lluís (1999-01)
    Article
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    We address the existence and properties of three-dimensional solitons localized in space and time, or light bullets, in bulk dispersive quadratic nonlinear media under conditions for Type I second-harmonic generation, with ...
  • Robust soliton clusters in media with competing cubic and quintic nonlinearities 

    Mihalache, Dumitru; Mazilu, D; Crasovan, L.C.; Malomed, Boris A.; Lederer, F; Torner Sabata, Lluís (2003-10)
    Article
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    Systematic results are reported for dynamics of circular patterns (“necklaces”), composed of fundamental solitons and carrying orbital angular momentum, in the two-dimensional model, which describes the propagation of light ...
  • 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)
    Article
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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 ...
  • Soliton content with quadratic nonlinearities 

    Artigas García, David; Torner Sabata, Lluís; Pérez Torres, Juan; Mihalache, Dumitru; Mazilu, D (1999-06)
    Article
    Open Access
    Summary form only given. Quadratic solitons, that form through cascading in materials with second-order nonlinearities, are a topic of current intense investigation. Solitons have been observed in second harmonic generation ...
  • Stability of spatial solitary waves in quadratic media 

    Torner Sabata, Lluís; Mihalache, Dumitru; Mazilu, D; Amhmediev, N (1995-11)
    Article
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    We investigate the stability of bright solitary waves formed by the mutual trapping of the fundamental and second-harmonic waves propagating in a nonlinear quadratic medium. First, we find that most of the solitary waves ...
  • Stability of walking vector solitons 

    Mihalache, Dumitru; Mazilu, D; Torner Sabata, Lluís (1998-11)
    Article
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    The stability of two-parameter families of walking vector solitons of coupled nonlinear Schrödinger equations in investigated. It is shown that all known, lowest-order soliton types, namely, slow, fast, vector in 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)
    Article
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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)
    Article
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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)
    Article
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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)
    Article
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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)
    Article
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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)
    Article
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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 ...
  • Stationary trapping of light beams in bulk second-order nonlinear media 

    Torner Sabata, Lluís; Mihalache, Dumitru; Mazilu, D; Wright, E M; Torruellas, W E; Stegeman, G I (1995-12)
    Article
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    The mutual trapping of fundamental and second harmonic, continuous-wave light beams propagating in bulk second-order nonlinear media is studied. We find numerically families of stationary, radially symmetric solitary waves. ...
  • Stationary walking solitons in bulk quadratic nonlinear media 

    Mihalache, Dumitru; Mazilu, D; Crasonavn, L C; Torner Sabata, Lluís (1997-04)
    Article
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    We study the mutual trapping of fundamental and second-harmonic light beams propagating in bulk quadratic nonlinear media in the presence of Poynting vector beam walk-off. We show numerically the existence of a two-parameter ...
  • 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)
    Article
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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 ...
  • Three-dimensional walking spatiotemporal solitons in quadratic media 

    Mihalache, Dumitru; Mazilu, D; Crasovan, L; Torner Sabata, Lluís; Malomed, B; Lederer, F (2000-11)
    Article
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    Two-parameter families of chirped stationary three-dimensional spatiotemporal solitons in dispersive quadratically nonlinear optical media featuring type-I second-harmonic generation are constructed in the presence of ...
  • Walking light bullets 

    Mihalache, Dumitru; Mazilu, D; Malomed, B; Torner Sabata, Lluís (1999-10)
    Article
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    Two-parameter families of chirped stationary two-dimensional light bullets, in the form of localized spatio-temporal solitons in dispersive-diffractive quadratically nonlinear optical media under conditions for the Type I ...
  • Walking solitons 

    Torner Sabata, Lluís; Santos Blanco, M. Concepción; Mihalache, Dumitru; Mazilu, D; Crasovan, L C (1997-12)
    Article
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    By and large, optical
  • Walking solitons in quadratic nonlinear media 

    Torner Sabata, Lluís; Mazilu, D; Mihalache, Dumitru (1996-09)
    Article
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    We study self-action of light in parametric wave interactions in nonlinear quadratic media. We show the existence of stationary solitons in the presence of Poynting vector beam walk-off or different group velocities between ...