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

作　　者：Serge Bruno Yamgoue Guy Roger Deffo Eric Tala-Tebue Francois Beceau Pelap 

机构地区：[1]Department of Physics,Higher Teacher Training College Bambili,The University ofBamenda,P.O.Box 39,Bamenda Cameroon [2]Unite de Recherche de Mecanique et de Modelisation des Systemes Physiques (UR-2MSP),Faculte des Sciences,Universite de Dschang,BP 69Dschang,Cameroun [3]Department of Telecommunication and Network Engineering,Fotso Victor University Institute of Technology,The University of Dschang,P.O.Box 134,Bandjoun,Cameroon

出　　处：《Chinese Physics B》2018年第12期420-430,共11页中国物理B（英文版）

摘　　要：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 Schrdinger equation nonlinear time derivative terms saturable nonlinearity exact solitary solutions 

分 类 号：O4[理学—物理]