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Nonlinear continuous b.-inductance electrical line with dissipative elements:Dynamics of.the low f.equency modulated waves

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Chinese Physics b 2020年第4期29卷 179-189页

作者： S M Ngounou f.b.pelap Unite de Recherche de Mecanique et de Modelisation des Systèmes Physiques(UR-2 MSP) Faculte des SciencesUniversite de DschangBP 69 DschangCameroun Unite de Recherche de Matiere Condensee d'Electronique et de Traitement du Signal(UR-MACETS) Faculte des SciencesUniversite de DschangBP 67 DschangCameroun

The dynamics of.modulated waves in a nonlinear b.-inductance transmission line with dissipative elements are *** show the existence of.two f.equency modes and carry out intensive investigations on the low f.equency *** to the multiple scales method,the b.havior of.these waves is investigated and the dissipative ef.ects are *** appears that the dissipation coef.icient increases with the carrier wave *** the continuous approximation,we derive that the propagation of.these waves is governed b. the complex Ginzb.rg-Landau equation instead of.the Korteweg-de-Vries equation as previously *** studies of.the dynamics of.plane waves in the line reveal the existence of.three additional regions in the dispersion curve where the modulational phenomenon is *** the low f.equency mode,we demonstrate that the network allows the propagation of.dark and b.ight *** f.ndings are in perf.ct agreement with the analytical predictions.

关键词： dissipative b.-inductance network low f.equency mode continuous approximation complex Ginzb.rg-Landau equation

Dynamics of.high-f.equency modulated waves in a nonlinear dissipative continuous b.-inductance network

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Chinese Physics b 2021年第6期30卷 193-205页

作者： S M Ngounou f.b.pelap Unitéde Recherche de Mécanique et de Modélisation des Systèmes Physiques(UR-2 MSP) Facultédes SciencesUniversitéde DschangBP 69 DschangCameroun Unitéde Recherche de Matière Condensée d'Electronique et de Traitement du Signal(UR-MACETS) Facultédes SciencesUniversitéde DschangBP 67 DschangCameroun

This paper presents intensive investigation of.dynamics of.high f.equency nonlinear modulated excitations in a damped b.modal lattice. The ef.ects of.the dissipation are considered through a linear dissipation coef.icient whose evolution in terms of.the carrier wave f.equency is checked. There appears that the dissipation coef.icient increases with the carrier wave f.equency. In the linear limit and f.r high f.equency waves, study of.the asymptotic b.havior of.plane waves reveals the existence of.two additional regions in the dispersion curve where the modulational phenomenon is ob.erved compared to the lossless line. b.sed on the multiple scales method exploited in the continuum approximation using an appropriate decoupling ansatz f.r the voltage of.the two dif.erent cells, it appears that the motion of.modulated waves is describ.d b. a dissipative complex Ginzb.rg–Landau equation instead of.a Korteweg–de Vries equation. We also show that this amplitude wave equation admits envelope and hole solitons in the high f.equency mode. f.om b.sic sources, we design a programmab.e electronic generator of.complex signals with desired characteristics, which delivers signals exploited as input waves f.r all our numerical simulations. These simulations are perf.rmed in the LTspice sof.ware that uses realistic components and give the results that corrob.rate perf.ctly our analytical predictions.

关键词： dissipative b.-inductance network high-f.equency mode continuous approximation dissipative complex Ginzb.rg–Landau equation programmab.e electronic generator LT-Pspice ob.ervations

Dynamics of.the plane and solitary waves in a Noguchi network:Ef.ects of.the nonlinear quadratic dispersion

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Chinese Physics b 2020年第3期29卷 105-111页

作者： S A T f.nkoua M S Ngounou G R Def.o f.b.pelap S b.Yamgoue A f.methe Unite de Recherche de Matiere Condensee d’Electronique et de Traitement du Signal(UR-MACETS) Faculte des SciencesUniversite de DschangBP 67 DschangCameroun Unite de Recherche de Mecanique et de Modelisation des Systemes Physiques(UR-2MSP) Faculte des SciencesUniversite de DschangBP 69 DschangCameroun Department of.Physics Higher Teacher Training College BambiliUniversity of BamendaP.O.Box 39 BamendaCameroon

We consider a modif.ed Noguchi network and study the impact of.the nonlinear quadratic dispersion on the dynamics of.modulated waves. In the semi-discrete limit, we show that the dynamics of.these waves are governed b. a nonlinear cub.c Schrodinger equation. f.om the graphical analysis of.the coef.icients of.this equation, it appears that the nonlinear quadratic dispersion counterb.lances the ef.ects of.the linear dispersion in the f.equency domain. Moreover, we estab.ish that this nonlinear quadratic dispersion provokes the disappearance of.some regions of.modulational instab.lity in the dispersion curve compared to the results earlier ob.ained b. pelap et al.(Phys. Rev. E 91 022925(2015)). We also f.nd that the nonlinear quadratic dispersion limit considerab.y af.ects the nature, stab.lity, and characteristics of.the waves which propagate through the system. f.rthermore, the results of.the numerical simulations perf.rmed on the exact equations describ.ng the network are f.und to b. in good agreement with the analytical predictions.

关键词： Noguchi network nonlinear quadratic dispersion modulational instab.lity soliton

Exact solitary wave solutions of.a nonlinear Schrdinger equation model with saturab.e-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 b.uno Yamgoue Guy Roger Def.o Eric Tala-Teb.e f.ancois b.ceau 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 cutof. waves in a discrete nonlinear electrical lattice. It is characterized b. 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 saturab.e;which suggests that the discrete electrical transmission lines can potentially b. used to experimentally investigate wave propagation in media that are modeled b. such type of.nonlinearity. We demonstrate that the new terms can enlarge considerab.y the f.rms of.the solutions as compared to similar NLS-type equations. Sine–Gordon expansion-method is used to derive numerous kink, antikink, dark, and b.ight soliton solutions.

关键词： nonlinear Schrdinger equation nonlinear time derivative terms saturab.e nonlinearity exact solitary solutions

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 b.uno Yamgoué Guy Roger Def.o Eric Tala-Teb.e f.ancois b.ceau 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 dif.erential equation describ.ng a nonlinear coupled two-dimensional discrete electrical lattice. The f.xed points of.our model equation are examined and the b.f.rcations of.phase portraits of.this equation f.r various values of.the f.ont wave velocity are presented. Using the sineGordon expansion method and classic integration, we ob.ain exact transverse solutions including b.eathers, b.ight solitons,and periodic solutions.

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

Inf.uence of.Waveguide Properties on Wave Prototypes Likely to Accompany the Dynamics of.f.ur-Wave Mixing in Optical f.b.rs

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Journal of.Applied Mathematics and Physics 2024年第7期12卷 2601-2633页

作者： Jean Roger b.gning Marcelle Nina Zamb. Ab.u’ou Christian Regis Ngouo Tchinda Mathurin f.mekong Oriel Loh Ndichia Stallone Mezezem Songna f.ançois b.ceau pelap Department of.Physics Higher Teacher Training College University of Bamenda Bamenda Cameroon Af.ican Optical f.b.r f.mily 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 Af.icain en Technologie de lInf.rmation 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

In this article, we study the impacts of.nonlinearity and dispersion on signals likely to propagate in the context of.the dynamics of.f.ur-wave mixing. Thus, we use an indirect resolution technique b.sed on the use of.the ib.f.nction to f.rst decouple the nonlinear partial dif.erential equations that govern the propagation dynamics in this case, and sub.equently solve them to propose some prototype solutions. These analytical solutions have b.en ob.ained;we check the impact of.nonlinearity and dispersion. The interest of.this work lies not only in the resolution of.the partial dif.erential 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 dif.erential equations which govern the dynamics of.f.ur-wave mixing in optical f.b.rs. b.yond the physical interest of.this work, there is also an appreciab.e mathematical interest.

关键词： Optical f.b.r f.ur Waves Mixing Implicit b.gning f.nction Coupled Nonlinear Partial Dif.erential Equations Nonlinear Coef.icient Dispersive Coef.icient Waveguide Properties