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Optical solitons of the coupled nonlinear Schrödinger’s equation with spatiotemporal dispersion

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Abstract

In this work, the coupled nonlinear Schrödinger’s equation (CNLSE) is studied with four forms of nonlinearity. The nonlinearities that are considered in this paper are the Kerr law, power law, parabolic law and dual-power law. Jacobi elliptic function solutions and also bright and dark optical soliton solutions are obtained for each law of the CNLSE. We will acquire constraint conditions for the existence of obtained solitons.

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Acknowledgments

This research project was supported by a grant from the “Research Center of the Center for Female Scientific and Medical Colleges”, Deanship of Scientific Research, King Saud University.

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Authors and Affiliations

  1. Department of Mathematics, Science Faculty, Fırat University, 23119, Elazig, Turkey

    Mustafa Inc

  2. Department of Electronics and Communication Engineering, Faculty of Technology, Karadeniz Technical University, 61830, Trabzon, Turkey

    Esma Ates

  3. Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh, 11495, Saudi Arabia

    Fairouz Tchier

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  1. Mustafa Inc
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  2. Esma Ates
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  3. Fairouz Tchier
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Correspondence to Mustafa Inc.

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Inc, M., Ates, E. & Tchier, F. Optical solitons of the coupled nonlinear Schrödinger’s equation with spatiotemporal dispersion. Nonlinear Dyn 85, 1319–1329 (2016). https://doi.org/10.1007/s11071-016-2762-9

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  • DOI: https://doi.org/10.1007/s11071-016-2762-9

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