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In this paper, we theoretically study propagation of steady-state ultrashort pulse in dissipative medium. We considered two cases: 1) medium consisting of lossy metallic nanostructures embedded into a gain material and 2) the gai...
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In this paper, we theoretically study propagation of steady-state ultrashort pulse in dissipative medium. We considered two cases: 1) medium consisting of lossy metallic nanostructures embedded into a gain material and 2) the gain material is embedded directly into the nanostructures. We found the shape and the velocity of an optical pulse coupled with the polarization wave.
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An exact nonsingular solitary wave solution of the Schafer-Wayne short pulse equation is derived from the breather solution of the sine-Gordon equation by means of a transformation between these two integrable equations.
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We have performed numerical analysis of the two-dimensional (2D) soliton solutions in Bose-Einstein condensates with nonlocal dipole-dipole interactions. For the modified 2D Gross-Pitaevski equation with nonlocal and attractive lo...
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We have performed numerical analysis of the two-dimensional (2D) soliton solutions in Bose-Einstein condensates with nonlocal dipole-dipole interactions. For the modified 2D Gross-Pitaevski equation with nonlocal and attractive local terms, we have found numerically different types of nonlinear localized structures such as fundamental solitons, radially symmetric vortices, nonrotating multisolitons (dipoles and quadrupoles), and rotating multisolitons (azimuthons). By direct numerical simulations we show that these structures can be made stable.
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Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole ...
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Three-dimensional solitary and vortex structures in Bose-Einstein condensates are studied in the framework of Gross-Pitaevskii model including the simultaneous action of local cubic-quintic nonlinearity and nonlocal dipole-dipole interactions. Nonlocal interactions are shown to change significantly the formation threshold and the numbers of atoms confined into the coherent structures. An appearance of robust high-order (m = 2) three-dimensional vortices is revealed. (C) 2008 Elsevier B.V. All rights reserved.
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This paper is an attempt to compare the non-linear chiroptical and non-reciprocity effects of bi-isotropic media. The nonlinearity used is of a Kerr type. Following the approach of Mezache-Benabdelaziz, recently new non-linear eff...
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This paper is an attempt to compare the non-linear chiroptical and non-reciprocity effects of bi-isotropic media. The nonlinearity used is of a Kerr type. Following the approach of Mezache-Benabdelaziz, recently new non-linear effects are characterized in a bi-anisotropic medium, which is due to the magnetization vector under the influence of a strong electric field. We then use these results to present the solution of nonlinear Schrodinger equation in the general case of bi-isotropic (chiral and non-reciprocal). Numerical simulations were carried out, in order to confirm the effect of the nonlinear chiroptical and non-reciprocity on the propagation analysis.
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摘要 :
This paper is an attempt to compare the non-linear chiroptical and non-reciprocity effects of bi-isotropic media. The nonlinearity used is of a Kerr type. Following the approach of Mezache-Benabdelaziz, recently new non-linear eff...
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This paper is an attempt to compare the non-linear chiroptical and non-reciprocity effects of bi-isotropic media. The nonlinearity used is of a Kerr type. Following the approach of Mezache-Benabdelaziz, recently new non-linear effects are characterized in a bi-anisotropic medium, which is due to the magnetization vector under the influence of a strong electric field. We then use these results to present the solution of nonlinear Schrodinger equation in the general case of bi-isotropic (chiral and non-reciprocal). Numerical simulations were carried out, in order to confirm the effect of the nonlinear chiroptical and non-reciprocity on the propagation analysis.
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The nonlinear equations describing a stationary wavelength conversion process, performed through the cascade of two second-order interactions in a non-centrosymmetric medium, are numerically solved in terms of normalized variables...
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The nonlinear equations describing a stationary wavelength conversion process, performed through the cascade of two second-order interactions in a non-centrosymmetric medium, are numerically solved in terms of normalized variables. The behaviour of the conversion efficiency as a function of pump intensity, crystal length, phase mismatch and linear losses is discussed for both bulk and waveguide interactions.
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This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mappi...
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This paper studies the Davey-Stewartson equation. The traveling wave solution of this equation is obtained for the case of power-law nonlinearity. Subsequently, this equation is solved by the exponential function method. The mapping method is then used to retrieve more solutions to the equation. Finally, the equation is studied with the aid of the variational iteration method. The numerical simulations are also given to complete the analysis.
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We systematically investigate slowly moving matter-wave gap soliton propagation in weak random optical lattices. With the weak randomness, an effective-particle theory is constructed to show that the motion of a gap soliton is sim...
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We systematically investigate slowly moving matter-wave gap soliton propagation in weak random optical lattices. With the weak randomness, an effective-particle theory is constructed to show that the motion of a gap soliton is similar to a particle moving in random potentials. Based on the effective-particle theory, the effects of the randomness on gap solitons are obtained and the trajectories of gap solitons are well predicted. Moreover, the general laws that describe the movement depending on the weak randomness are obtained. We find that with an increase of the random strength, the ensemble-average velocity reduces slowly and the reflection probability becomes larger. The theoretical results based on the effective-particle theory are confirmed by the numerical simulations based on the Gross-Pitaevskii equation.
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Nonlinear interactions in focusing media between traveling solitons and the dispersive shocks produced by an initial discontinuity are studied using the one-dimensional nonlinear Schr?dinger equation. It is shown that, when solito...
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Nonlinear interactions in focusing media between traveling solitons and the dispersive shocks produced by an initial discontinuity are studied using the one-dimensional nonlinear Schr?dinger equation. It is shown that, when solitons travel from a region with nonzero background toward a region with zero background, they always pass through the shock structure without generating dispersive radiation. However, their properties (such as amplitude, velocity, and shape) change in the process. A similar effect arises when solitons travel from a region with zero background toward a region with nonzero background, except that, depending on its initial velocity, in this case the soliton may remain trapped inside the shocklike structure indefinitely. In all cases, the new soliton properties can be determined analytically. The results are validated by comparison with numerical simulations.
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