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Exact solitary wave solutions of a nonlinear Schrdinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice

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Chinese Physics B 2018年第12期27卷 420-430页

作者： Serge Bruno Yamgoue Guy Roger Deffo Eric Tala-Tebue francois beceau pelap Department of Physics Higher Teacher Training College BambiliThe University ofBamendaP.O.Box 39Bamenda Cameroon Unite de Recherche de Mecanique et de Modelisation des Systemes Physiques (UR-2MSP) Faculte des SciencesUniversite de DschangBP 69DschangCameroun Department of Telecommunication and Network Engineering Fotso Victor University Institute of TechnologyThe University of DschangP.O.Box 134BandjounCameroon

In this paper, we introduce and propose exact and explicit analytical solutions to a novel model of the nonlinear Schr¨odinger(NLS) equation. This model is derived as the equation governing the dynamics of modulated cutoff waves in a discrete nonlinear electrical lattice. It is characterized by the addition of two terms that involve time derivatives to the classical equation. Through those terms, our model is also tantamount to a generalized NLS equation with saturable;which suggests that the discrete electrical transmission lines can potentially be used to experimentally investigate wave propagation in media that are modeled by such type of nonlinearity. We demonstrate that the new terms can enlarge considerably the forms of the solutions as compared to similar NLS-type equations. Sine–Gordon expansion-method is used to derive numerous kink, antikink, dark, and bright soliton solutions.

关键词： nonlinear Schrdinger equation nonlinear time derivative terms saturable nonlinearity exact solitary solutions

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Exact transverse solitary and periodic wave solutions in a coupled nonlinear inductor-capacitor network

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Chinese Physics B 2018年第9期27卷 434-443页

作者： Serge Bruno Yamgoué Guy Roger Deffo Eric Tala-Tebue francois beceau pelap Department of Physics Higher Teacher Training College Bambili the University of Bamenda Unité de Recherche de Mécanique et de Modélisation des Systèmes Physiques (UR-2MSP) Faculté des Sciences Université de Dschang Department of Telecommunication and Network Engineering Fotso Victor University Institute of Technology The University of Dschang P.O. Box 134 Bandjoun Cameroon

Through two methods, we investigate the solitary and periodic wave solutions of the differential equation describing a nonlinear coupled two-dimensional discrete electrical lattice. The fixed points of our model equation are examined and the bifurcations of phase portraits of this equation for various values of the front wave velocity are presented. Using the sineGordon expansion method and classic integration, we obtain exact transverse solutions including breathers, bright solitons,and periodic solutions.

关键词： nonlinear electrical lattices two-dimensional network sine-Gordon expansion exact transverse solitary wave solutions

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