Article citationsMore>>

Djeumen Tchaho, C.T. (2015) New Method of Construction of the Solitary Wave Solutions of Some Physical Nonlinear Partial Differential Equations Doctorat. Ph.D. Thesis, University of Yaounde I, Yaounde.

has been cited by the following article:

• TITLE: Hybrid Dispersive Optical Solitons in Nonlinear Cubic-Quintic-Septic Schrödinger Equation

  AUTHORS: Clovis Taki Djeumen Tchaho, Hugues Martial Omanda, Gaston N’tchayi Mbourou, Jean Roger Bogning, Timoléon Crépin Kofané

  KEYWORDS: Nonlinear Schrödinger Equation, Bogning-Djeumen Tchaho-Kofané Method, Hybrid Dispersive Optical Solitons, Cubic-Quintic-Septic Law, Strong Dispersions, Nonlinear Optics

  JOURNAL NAME: Optics and Photonics Journal, Vol.11 No.2, February 26, 2021

  ABSTRACT: Certain hybrid prototypes of dispersive optical solitons that we are looking for can correspond to new or future behaviors, observable or not, developed or will be developed by optical media that present the cubic-quintic-septic law coupled, with strong dispersions. The equation considered for this purpose is that of non-linear Schrödinger. The solutions are obtained using the Bogning-Djeumen Tchaho-Kofané method extended to the new implicit Bogning’ functions. Some of the obtained solutions show that their existence is due only to the Kerr law nonlinearity presence. Graphical representations plotted have confirmed the hybrid and multi-form character of the obtained dispersive optical solitons. We believe that a good understanding of the hybrid dispersive optical solitons highlighted in the context of this work allows to grasp the physical description of systems whose dynamics are governed by nonlinear Schrödinger equation as studied in this work, allowing thereby a relevant improvement of complex problems encountered in particular in nonliear optaics and in optical fibers.