Showing papers by "Yuri S. Kivshar published in 1990"
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TL;DR: In this article, it was demonstrated that the dynamics of small-amplitude dark solitons in the presence of the stimulated Raman effect in optical fibers may be described by the well-known Korteweg-de Vries-Burgers equation.
Abstract: It is demonstrated that the dynamics of small-amplitude dark solitons in the presence of the stimulated Raman effect in optical fibers may be described by the well-known Korteweg--de Vries--Burgers equation. This approach allows us to explain analytically the temporal self-shift of dark solutions due to self-induced Raman scattering and to predict oscillating shock waves in optical fibers.
98 citations
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TL;DR: In this paper, the amplitude threshold for the capture of two partial pulses into a coupled two-component pulse was analyzed based on a soliton phenomenology and the analytical dependence of amplitude threshold on linear birefringence is in good agreement with numerical results of Menyuk et al.
Abstract: Propagation of short pulses in birefringent optical fibers is considered in the framework of two coupled nonlinear Schrodinger equations. When the amplitudes of the pulses belonging to different polarizations are equal, we propose a simple analytical explanation of the amplitude threshold for the capture of two partial pulses into a coupled two-component pulse. Our approach is based on a soliton phenomenology. The analytical dependence of the amplitude threshold on linear birefringence is in good agreement with numerical results of Menyuk
[ J. Opt. Soc. Am. B5, 392 ( 1988)]. The influence of small dissipative losses on the effect is also discussed.
60 citations
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TL;DR: In this paper, it was shown that the repulsive character of a mass impurity is stipulated by discreteness effects in the sine-Gordon system, and the threshold velocity for the kink reflection by a heavy mass is calculated in the framework of the effective equation of motion for the link center in the discrete sine Gordon chain.
15 citations
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TL;DR: It is demonstrated that the dynamics of small-amplitude dark solitons in optical fibers may be described by the wellknown Korteweg-de Vries equation, which allows us to explain analytically the temporal self-shift of darksolitons due to the Raman contribution to the nonlinear refractive index.
Abstract: It is demonstrated that the dynamics of small-amplitude dark solitons in optical fibers may be described by the well-known Korteweg–de Vries equation. This approach allows us to explain analytically the temporal self-shift of dark solitons due to the Raman contribution to the nonlinear refractive index, which has been observed experimentally by Weiner et al. [Opt. Lett. 14, 868 (1989)].
12 citations
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TL;DR: It is demonstrated that in a system of parallel-coupled long Josephson junctions forming a layered superconducting structure there are nonlinear excitations of coupled fluxon arrays in the form of dynamical ``supersolitons'' that may be important in transport properties of the flux flow in layeredsuperconductors or high-performance superconductors with twins under external magnetic fields.
Abstract: It is demonstrated that in a system of parallel-coupled long Josephson junctions forming a layered superconducting structure there are nonlinear excitations of coupled fluxon arrays in the form of dynamical ``supersolitons'' [A. V. Ustinov, Phys. Lett. A 136, 155 (1989)]. The supersolitons in the system may be of two types, dynamical kinks and envelope solitons. The former ones are described by the elliptic-lattice equation which is transformed into the sine-lattice equation in the case of the dense fluxon arrays or the modified Boussinesq equation in the continuum limit. The latter solitons are oscillating ones and are described by the nonlinear Schr\"odinger equation in the discrete carrier case. These solitons may be important in transport properties of the flux flow in layered superconductors or high-${\mathit{T}}_{\mathit{c}}$ superconductors with twins under external magnetic fields. The stability of the nonlinear excitations is briefly discussed.
11 citations
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TL;DR: Ces systemes sont en interaction avec des ondes acoustiques longitudinales et transverses avec l'emission des onde acoustique accompagnant les petites oscillations.
Abstract: Ces systemes sont en interaction avec des ondes acoustiques longitudinales et transverses. On etudie l'emission des ondes acoustiques accompagnant les petites oscillations
10 citations
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TL;DR: In this paper, it was shown that in a system of parallel-coupled long Josephson junctions, there are nonlinear excitations of coupled fluxon arrays in the form of dynamical supersolitons of two types: dynamical kinks and envelope solitons.
Abstract: It is demonstrated that in a system of parallel-coupled long Josephson junctions (LJJs) there are nonlinear excitations of coupled fluxon arrays in the form of dynamical supersolitons of two types: dynamical kinks and envelope solitons. These solitons may be important in transport properties of the flux flow in layered superconductors or high-Tc ones with twins under external magnetic field.