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Analytical solutions of the discrete nonlinear Schrödinger equation in arrays of optical fibers

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  • Bogning, Jean Roger
  • Kofane, Timoléon Crépin

Abstract

We find the analytical solutions of the discrete nonlinear Schrödinger equation which models arrays of optical fibers according to the fact that the signal which propagate in the fiber under consideration of the array can be prone to the lateness or accelerating effects of the neighbouring fibers. Firstly, we give the recurrence relation which governs the number of fiber “n”and secondly, we apply the projective Riccati method to achieve the resolution.

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  • Bogning, Jean Roger & Kofane, Timoléon Crépin, 2006. "Analytical solutions of the discrete nonlinear Schrödinger equation in arrays of optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 148-153.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:148-153
    DOI: 10.1016/j.chaos.2005.04.121
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    Cited by:

    1. Jean R. Bogning & Cédric Jeatsa Dongmo & Clément Tchawoua, 2021. "The Probabilities of Obtaining Solitary Wave and Other Solutions in the Modified Noguchi Power Line," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(4), pages 1-19, October.

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