Modulational Instability of the Second-order Bright Solitary Wave in Flattened Optical Fiber
J. R. Bogning *
Department of Physics, Higher Teacher Training College, University of Bamenda, P.O.Box 39, Bamenda, Cameroon and African Optical Fiber Family, P.O.Box 2042 Camtel Kamkop Bafoussam, Cameroon.
C. R. Ngouo Tchinda
Department of Physics, Faculty of Science, University of Yaoundé I, P.O.Box 812, Yaoundé, Cameroon and Centre d’Excellence Africain en Technologie de l’Information et de la Télécommunication, The University of Yaoundé I, Cameroon.
*Author to whom correspondence should be addressed.
Abstract
The criterion of modulational instability of the second order bright solitary wave is studied in this article. The Principle consists initially in seeking all solitary wave solutions of the bright type which verify the nonlinear partial differential equation which governs the dynamics of propagation in flattened optical fibers. When the reference solution to be subjected to a disturbance is identified, the next step consists in establishing the condition of modulational stability/instability.
Keywords: Flattened optical fiber, bright solitary wave, modulational instability, iB- function, propagation, nonlinear, dispersive, partial differential equation