Dynamics of the plane and solitary waves in a Noguchi network:Effects of the nonlinear quadratic dispersion  

作　　者：S A T Fonkoua M S Ngounou G R Deffo F B Pelap S B Yamgoue A Fomethe 

机构地区：[1]Unite de Recherche de Matiere Condensee d’Electronique et de Traitement du Signal(UR-MACETS),Faculte des Sciences,Universite de Dschang,BP 67 Dschang,Cameroun [2]Unite de Recherche de Mecanique et de Modelisation des Systemes Physiques(UR-2MSP),Faculte des Sciences,Universite de Dschang,BP 69 Dschang,Cameroun [3]Department of Physics,Higher Teacher Training College Bambili,University of Bamenda,P.O.Box 39 Bamenda,Cameroon

出　　处：《Chinese Physics B》2020年第3期105-111,共7页中国物理B（英文版）

摘　　要：We consider a modified 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 by a nonlinear cubic Schrodinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al.(Phys. Rev. E 91 022925(2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.We consider a modified 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 by a nonlinear cubic Schr odinger equation. From the graphical analysis of the coefficients of this equation, it appears that the nonlinear quadratic dispersion counterbalances the effects of the linear dispersion in the frequency domain. Moreover, we establish that this nonlinear quadratic dispersion provokes the disappearance of some regions of modulational instability in the dispersion curve compared to the results earlier obtained by Pelap et al.(Phys. Rev. E 91 022925(2015)). We also find that the nonlinear quadratic dispersion limit considerably affects the nature, stability, and characteristics of the waves which propagate through the system. Furthermore, the results of the numerical simulations performed on the exact equations describing the network are found to be in good agreement with the analytical predictions.

关 键 词：Noguchi NETWORK nonlinear QUADRATIC DISPERSION modulational INSTABILITY SOLITON 

分 类 号：O313[理学—一般力学与力学基础]