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

doi:10.1088/1674-1056/27/12/126303

中国物理B ›› 2018, Vol. 27 ›› Issue (12): 126303-126303.doi: 10.1088/1674-1056/27/12/126303

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

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

Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap

1 Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P. O. Box 39, Bamenda Cameroon;
2 Unitéde Recherche de Mécanique et de Modélisation des Systèmes Physiques(UR-2 MSP), Faculte des Sciences, Universitéde Dschang, BP 69 Dschang, Cameroun;
3 Department of Telecommunication and Network Engineering, Fotso Victor University Institute of Technology, The University of Dschang, P. O. Box 134, Bandjoun, Cameroon

收稿日期:2018-08-10 修回日期:2018-09-26 出版日期:2018-12-05 发布日期:2018-12-05
通讯作者: Serge Bruno Yamgou E-mail:sergebruno@yahoo.fr

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

Serge Bruno Yamgoué¹, Guy Roger Deffo², Eric Tala-Tebue³, François Beceau Pelap²

1 Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P. O. Box 39, Bamenda Cameroon;
2 Unitéde Recherche de Mécanique et de Modélisation des Systèmes Physiques(UR-2 MSP), Faculte des Sciences, Universitéde Dschang, BP 69 Dschang, Cameroun;
3 Department of Telecommunication and Network Engineering, Fotso Victor University Institute of Technology, The University of Dschang, P. O. Box 134, Bandjoun, Cameroon

Received:2018-08-10 Revised:2018-09-26 Online:2018-12-05 Published:2018-12-05
Contact: Serge Bruno Yamgou E-mail:sergebruno@yahoo.fr

摘要/Abstract

摘要：

In this paper, we introduce and propose exact and explicit analytical solutions to a novel model of the nonlinear Schrödinger (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 Schrö, dinger equation, nonlinear time derivative terms, saturable nonlinearity, exact solitary solutions

Abstract:

Key words: nonlinear Schrö, dinger equation, nonlinear time derivative terms, saturable nonlinearity, exact solitary solutions

中图分类号: (Localized modes)

63.20.Pw

Serge Bruno Yamgoué, Guy Roger Deffo, Eric Tala-Tebue, François Beceau Pelap. Exact solitary wave solutions of a nonlinear Schrödinger equation model with saturable-like nonlinearities governing modulated waves in a discrete electrical lattice[J]. 中国物理B, 2018, 27(12): 126303-126303.

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

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

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