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Rogue waves with multiple compression points in nonlinear optical cavities

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Abstract.

In this paper, we use the similarity transformation method to investigate the generation and the control of rogue wave solutions in nonlinear optical cavities described by a (2 + 1) -dimensional Lugiato-Lefever equation with varying coefficients. For a periodic distribution of the diffraction parameter, first-order and second-order rogue wave solutions with multiple compression points are generated. Our results reveal that multiple compression points depend on the values of the modulation amplitude of the diffraction parameter and are independent of the spatial distribution in the cavities.

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Authors and Affiliations

  1. School of Geology and Mining Engineering, Department of Petroleum and Gas Engineering, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon

    Guy Richard Kol

  2. Institute of Mines and Petroleum Industries, Department of Mechanical and Electrical Engineering, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Guy Richard Kol

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Correspondence to Guy Richard Kol.

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Kol, G.R. Rogue waves with multiple compression points in nonlinear optical cavities. Eur. Phys. J. Plus 132, 331 (2017). https://doi.org/10.1140/epjp/i2017-11588-3

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  • DOI: https://doi.org/10.1140/epjp/i2017-11588-3

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