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Specific Features of the Self-Action Dynamics of Wave Packets with Initially Normal Group-Velocity Dispersion in Nonlinear Lattices

  • STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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Abstract

Specific features of the self-action of wave fields are studied in the framework of a discrete nonlinear Schrödinger equation (DNSE). It is shown analytically and numerically that the dynamics of wave packets with initially normal group-velocity dispersion in systems described by this model equation may differ significantly from the evolution of similar distributions in a continuous medium. The behavior of wave fields with initially smooth (compared to the lattice period) amplitude profile and phase front is analyzed in detail, and the mechanism of their destruction in chains of equidistant elements is studied. A modification of the dispersionless approximation is proposed, which makes it possible to theoretically describe the effects leading to the development of small-scale instabilities against the background of a smooth envelope and to its subsequent significant deformations (up to destruction). Estimates of critical parameters are presented above which one should expect the above-mentioned processes (uncharacteristic of continuous media).

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Funding

This work was carried out at the world-class Scientific Center “Photonics Center” and supported by the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2020-906).

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia

    L. A. Smirnov, V. A. Mironov & A. G. Litvak

  2. Institute of Information Technology, Mathematics and Mechanics, Lobachevsky State University of Nizhny Novgorod, 603950, Nizhny Novgorod, Russia

    L. A. Smirnov

Authors
  1. L. A. Smirnov
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  2. V. A. Mironov
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  3. A. G. Litvak
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Correspondence to L. A. Smirnov.

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Translated by I. Nikitin

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Smirnov, L.A., Mironov, V.A. & Litvak, A.G. Specific Features of the Self-Action Dynamics of Wave Packets with Initially Normal Group-Velocity Dispersion in Nonlinear Lattices. J. Exp. Theor. Phys. 134, 762–771 (2022). https://doi.org/10.1134/S1063776122060139

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  • DOI: https://doi.org/10.1134/S1063776122060139

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