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The Probabilities of Obtaining Solitary Wave and Other Solutions in the Modified Noguchi Power Line

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Listed:
  • Jean R. Bogning
  • Cédric Jeatsa Dongmo
  • Clément Tchawoua

Abstract

We use the implicit Bogning function (iB-function) to proceed to a kind of inventory of the possible solutions of the modified nonlinear partial differential equation which characterizes the modified power line of Noguchi. Firstly, we make an inventory of the forms of solutions through a field of possible solutions, then we identify the most probable forms that we set out to look for. The iB-function is used because it summarizes within it several types of different functions depending on the choice of its characteristics and it is easy to handle in the case of strongly nonlinear partial differential equations. In other words, we use the notion of probability to locate, through the characteristic indices of iB-functions, the forms of solitary and traveling wave solutions likely to propagate in the modified Noguchi power line.

Suggested Citation

  • 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.
    • Handle: RePEc:ibn:jmrjnl:v:13:y:2021:i:4:p:19
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    References listed on IDEAS

    as
    1. Bogning, Jean Roger & Kofane, T.C., 2006. "Multi-instability of gap solitons and dynamics of nonlinear excitations in the array of optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 377-385.
    2. 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.
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      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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