Relevant bibliographies by topics / Envelope vector soliton

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Envelope vector soliton'

Author: Grafiati
Published: 19 October 2024
Last updated: 31 July 2025

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Journal articles on the topic "Envelope vector soliton"

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Gadzhimuradov, Telman A. "Linear interference of nonlinear waves—Multispeed vector solitons." Chaos: An Interdisciplinary Journal of Nonlinear Science 33, no. 2 (2023): 023101. http://dx.doi.org/10.1063/5.0124840.

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The dynamics of envelope solitons in a system of coupled anharmonic chains are addressed. Mathematically, the system is equivalent to the vector soliton propagation model in a single-mode fiber with low birefringence in the presence of coherent and incoherent interactions. It is numerically and analytically shown that multi-component soliton entries can behave as free scalar solitons with arbitrary velocities and amplitudes. The appropriate exact multi-soliton solutions are provided. They can be presented as a linear interference of degenerate vector solitons known before. Furthermore, the int
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Cocco, Simona, Maria Barbi, and Michel Peyrard. "Vector nonlinear Klein-Gordon lattices: General derivation of small amplitude envelope soliton solutions." Physics Letters A 253, no. 3-4 (1999): 161–67. http://dx.doi.org/10.1016/s0375-9601(99)00058-4.

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Kates, Ronald E., and D. J. Kaup. "Nonlinear self-interaction of plasma electromagnetic pulses propagating obliquely to a very strong ambient magnetic field." Journal of Plasma Physics 48, no. 3 (1992): 397–413. http://dx.doi.org/10.1017/s0022377800016652.

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We study nonlinear self-interactions including modulational instability in the case of a plane electromagnetic pulse propagating through a magnetized cold plasma at an arbitrary oblique angle to the external magnetic field. For intended applications to pulsar magnetospheres, the magnetic field is so large that both the electron- and ion-cyclotron frequencies are enormous compared with the plasma frequency or the frequency ω of the wave itself. The plasma is assumed to contain two singly charged species, either electrons and positrons or electrons and ions. (No approximation is made with respec
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Demiquel, A., V. Achilleos, G. Theocharis, and V. Tournat. "Envelope vector solitons in nonlinear flexible mechanical metamaterials." Wave Motion 131 (December 2024): 103394. http://dx.doi.org/10.1016/j.wavemoti.2024.103394.

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Yomba, Emmanuel. "Ring-like Bright Monster Waves in Variable-Coefficient Partially Nonlocal Coupled NLS Equations with Directional Diffraction and External Perturbations in (3+1)D." Mathematics 13, no. 7 (2025): 1039. https://doi.org/10.3390/math13071039.

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Partially nonlocal (PNL) variable-coefficient nonlinear Schrödinger equations (NLSEs) represent a significant area of study in mathematical physics and quantum mechanics, particularly in scenarios where potential and coefficients vary spatially or temporally. The (3+1)-dimensional partially nonlocal (PNL) coupled nonlinear Schrödinger (NLS) model, enriched with different values of two transverse diffraction profiles and subjected to gain or loss phenomena, undergoes dimensional reduction to a (2+1)-dimensional counterpart model, facilitated by a conversion relation. This reduction unveils intr
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Xia, Hua, Pavel Kabos, Hong Yan Zhang, Pavel A. Kolodin, and Carl E. Patton. "Brillouin Light Scattering and Magnon Wave Vector Distributions for Microwave-Magnetic-Envelope Solitons in Yttrium-Iron-Garnet Thin Films." Physical Review Letters 81, no. 2 (1998): 449–52. http://dx.doi.org/10.1103/physrevlett.81.449.

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Lazarides, N., Giorgos P. Veldes, D. J. Frantzeskakis, and Ioannis Kourakis. "Electrostatic wave interaction via asymmetric vector solitons as precursor to rogue wave formation in non-Maxwellian plasmas." Scientific Reports 14, no. 1 (2024). http://dx.doi.org/10.1038/s41598-024-52431-7.

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AbstractAn asymmetric pair of coupled nonlinear Schrödinger (CNLS) equations has been derived through a multiscale perturbation method applied to a plasma fluid model, in which two wavepackets of distinct (carrier) wavenumbers ($$k_1$$ k 1 and $$k_2$$ k 2 ) and amplitudes ($$\Psi _1$$ Ψ 1 and $$\Psi _2$$ Ψ 2 ) are allowed to co-propagate and interact. The original fluid model was set up for a non-magnetized plasma consisting of cold inertial ions evolving against a $$\kappa$$ κ -distributed electron background in one dimension. The reduction procedure resulting in the CNLS equations has provid
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Veldes, G. P., N. Lazarides, D. J. Frantzeskakis, and I. Kourakis. "Coupled circularly polarized electromagnetic soliton states in magnetized plasmas." Nonlinear Dynamics, April 24, 2024. http://dx.doi.org/10.1007/s11071-024-09550-7.

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AbstractThe interaction between two co-propagating electromagnetic pulses in a magnetized plasma is considered, from first principles, relying on a fluid-Maxwell model. Two circularly polarized wavepackets by same group velocities are considered, characterized by opposite circular polarization, to be identified as left-hand- or right hand circularly polarized (i.e. LCP or RCP, respectively). A multiscale perturbative technique is adopted, leading to a pair of coupled nonlinear Schrödinger-type (NLS) equations for the modulated amplitudes of the respective vector potentials associated with the
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Ibarra-Villalon, H. E., Olivier Pottiez, Armando Gómez-Vieyra, and Jesús Pablo Lauterio-Cruz. "Fundamental vector soliton dynamics governed by Kerr and Raman nonlinearities in optical fiber." Physica Scripta, December 11, 2024. https://doi.org/10.1088/1402-4896/ad9d95.

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Abstract This work analyzes numerically the propagation of a fundamental vector soliton in presence of a Raman soliton self-polarization shift (RSSPS) effect driven by the self- and cross-frequency shift that are induced by the stimulated Raman scattering (SRS), which is modeled by two coupled nonlinear Schrödinger equations in a circular polarization basis. Particularly, the propagation of the fundamental vector soliton, as a sech-squared temporal pulse profile, is also governed by a compensation balance between dispersion and Kerr effect. In this analysis, the numerical approach for solving
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Lashkin, Volodymyr M., and Oleg K. Cheremnykh. "Interaction of upper hybrid waves with dust-ion-magnetoacoustic waves and stable two-dimensional solitons in dusty plasmas." Physics of Plasmas 32, no. 2 (2025). https://doi.org/10.1063/5.0242386.

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We obtain a two-dimensional (2D) nonlinear system of equations for the electrostatic potential envelope and the low-frequency magnetic field perturbation to describe the interaction of the upper hybrid wave propagating perpendicular to an external magnetic field with the dust-ion-magnetoacoustic (DIMA) wave in a magnetized dusty plasma. The equations contain both scalar and vector nonlinearities. A nonlinear dispersion relation is derived, and the decay and modulation instability thresholds and growth rates are obtained. Numerical estimates show that instability thresholds can easily be exceed
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Dissertations / Theses on the topic "Envelope vector soliton"

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Demiquel, Antoine. "Control of nonlinear modulated waves in flexible mechanical metamaterials." Electronic Thesis or Diss., Le Mans, 2024. https://cyberdoc-int.univ-lemans.fr/Theses/2024/2024LEMA1015.pdf.

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Ce travail est consacré à l'étude des ondes modulées se propageant le long de métamatériaux mécaniques flexibles nonlinéaires (FlexMM). Ces structures sont des matériaux architecturés constitués d'éléments souples très déformables connectés à des éléments plus rigides. Leur capacité à subir de grandes déformations locales favorise l'apparition de phénomènes d'ondes non linéaires. En utilisant une approche par éléments discrets, nous formulons des équations discrètes non linéaires qui décrivent les déplacements longitudinaux et rotationnels de chaque cellule unitaire et leur couplage mutuel. Un
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Book chapters on the topic "Envelope vector soliton"

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Lazarides, N., and Ioannis Kourakis. "Modulational Instability, Vector Solitons and Extreme Amplitude Envelopes in Asymmetric Coupled Nonlinear Schrödinger Equations." In Springer Proceedings in Complexity. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-60907-7_26.

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Conference papers on the topic "Envelope vector soliton"

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Goorjian, Peter M., Rose M. Joseph, and Allen Taflove. "Calculations of Femtosecond Temporal Solitons and Spatial Solitons Using the Vector Maxwell's Equations." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.tub.12.

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Experimentalists have produced all-optical switches capable of 100-fs responses [1]. Also, there are experimental observations [2] and theoretical calculations [3] of spatial soliton interactions. To adequately model such effects, nonlinearities in optical materials [4] (both instantaneous and dispersive) must be included. In principle, the behavior of electromagnetic fields in nonlinear dielectrics can be determined by solving Maxwell's equations subject to the assumption that the electric polarization has a nonlinear relation to the electric field. However, until our previous work [5 - 8], t
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Eleonsky, V. M., V. G. Korolev, N. E. Kulagin, and L. P. Shil'nikov. "BRANCHING OF ENVELOPES VECTOR SOLITONS." In Proceedings of the Workshop on Optical Solitons. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814439282_0004.

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Peschel, U., T. Peschel, and F. Lederer. "Bright and Dark Solitary Waves near Linear Material Resonances." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/nlgw.1996.sac.6.

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Temporal optical solitons may exist in media where the dispersion-induced chirp is balanced by nonlinear self-phase modulation due to the Kerr effect. Usually, the parabolic approximation is employed for the frequency dependence of the wave vector (dispersion relation) resulting in the nonlinear Schrödinger for the field envelope. The propagation of temporal solitons in optical fibers can be reasonably described by this provided that the mean frequency is not too close to the zero-dispersion point. But, if the parabolic approximation fails higher-order terms of the expansion must be taken into
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