摘要
In this article, we study the impacts of nonlinearity and dispersion on signals likely to propagate in the context of the dynamics of four-wave mixing. Thus, we use an indirect resolution technique based on the use of the iB-function to first decouple the nonlinear partial differential equations that govern the propagation dynamics in this case, and subsequently solve them to propose some prototype solutions. These analytical solutions have been obtained;we check the impact of nonlinearity and dispersion. The interest of this work lies not only in the resolution of the partial differential equations that govern the dynamics of wave propagation in this case since these equations not at all easy to integrate analytically and their analytical solutions are very rare, in other words, we propose analytically the solutions of the nonlinear coupled partial differential equations which govern the dynamics of four-wave mixing in optical fibers. Beyond the physical interest of this work, there is also an appreciable mathematical interest.
In this article, we study the impacts of nonlinearity and dispersion on signals likely to propagate in the context of the dynamics of four-wave mixing. Thus, we use an indirect resolution technique based on the use of the iB-function to first decouple the nonlinear partial differential equations that govern the propagation dynamics in this case, and subsequently solve them to propose some prototype solutions. These analytical solutions have been obtained;we check the impact of nonlinearity and dispersion. The interest of this work lies not only in the resolution of the partial differential equations that govern the dynamics of wave propagation in this case since these equations not at all easy to integrate analytically and their analytical solutions are very rare, in other words, we propose analytically the solutions of the nonlinear coupled partial differential equations which govern the dynamics of four-wave mixing in optical fibers. Beyond the physical interest of this work, there is also an appreciable mathematical interest.
作者
Jean Roger Bogning
Marcelle Nina Zambo Abou’ou
Christian Regis Ngouo Tchinda
Mathurin Fomekong
Oriel Loh Ndichia
Stallone Mezezem Songna
François Béceau Pelap
Jean Roger Bogning;Marcelle Nina Zambo Abou’ou;Christian Regis Ngouo Tchinda;Mathurin Fomekong;Oriel Loh Ndichia;Stallone Mezezem Songna;François Béceau Pelap(Department of Physics, Higher Teacher Training College, University of Bamenda, Bamenda, Cameroon;African Optical Fiber Family, Bafoussam, Cameroon;Department of Physics, Faculty of Science, University of Bamenda, Bamenda, Cameroon;Department of Physics, Faculty of Science, University of Yaound I, Yaound, Cameroon;Africain en Technologie de lInformation et de la Tlcommunication, The University of Yaound I, Yaound, Cameroon;Unit de Recherche de Mcanique et de Modlisation des Systmes Physiques (UR-2MSP), Facult des Sciences, Universit de Dschang, Dschang, Cameroun)
