Higher-Order Nonlinear Schrödinger Equation Family in Optical Fiber and Solitary Wave Solutions
American Journal of Optics and Photonics
Volume 6, Issue 3, September 2018, Pages: 31-41
Received: Aug. 19, 2018;
Accepted: Sep. 6, 2018;
Published: Dec. 14, 2018
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Rodrique Njikue, Department of Physics, Faculty of Science, University of Yaounde I, Yaoundé, Cameroon; African Center of Excellence in Information Technology and Telecommunications, University of Yaoundé I, Yaoundé, Cameroon
Jean Roger Bogning, Department of Physics, Higher Teacher Training College, University of Bamenda, Bamenda, Cameroon
Timoleon Crépin Kofané, Department of Physics, Faculty of Science, University of Yaounde I, Yaoundé, Cameroon; African Center of Excellence in Information Technology and Telecommunications, University of Yaoundé I, Yaoundé, Cameroon
In this paper, we modify with an appropriate analytical technique, the characteristics of the optical fiber through the modification of the coefficients of the highly nonlinear partial differential equation, which initially governs the dynamics of the propagation in such a wave guide. The procedure consists to assign arbitrary coefficients to the various terms of the established nonlinear partial differential equation, such as the one that embodies the propagation dynamics in a strongly nonlinear optical fiber and subsequently establishing the constraint equations linking these coefficients and thus the analys is makes it possible to enumerate the criteria for which obtaining the desired solutions is possible. These coefficients are like indicators which characterize the various modifications made in this medium of transmission. The nonlinear evolution equation that served as mathematical model for this study is the higher-order nonlinear Schrödinger equation which better describes the propagation of an ultrafast pulse in an optical fiber. The use of the Bogning-Djeumen Tchaho-Kofané method enabled not only to establish the constraint relations, but also the solitary wave solutions and plane wave solutions. We want through the results obtained in this article to give the specialists of the manufacture of transmission media such as optical fiber, to consider the modification of the properties of this wave guide during manufacture, depending on the type of signal that one wants to propagate in this case notably the solitary wave.
Jean Roger Bogning,
Timoleon Crépin Kofané,
Higher-Order Nonlinear Schrödinger Equation Family in Optical Fiber and Solitary Wave Solutions, American Journal of Optics and Photonics.
Vol. 6, No. 3,
2018, pp. 31-41.
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