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

doi:10.1088/1674-1056/ab696a

中国物理B ›› 2020, Vol. 29 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/ab696a

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

S A T Fonkoua, M S Ngounou, G R Deffo, F B Pelap, S B Yamgoue, A Fomethe

1 Unite de Recherche de Matière Condensée d'Electronique et de Traitement du Signal(UR-MACETS), Faculté des Sciences, Université de Dschang, BP 67 Dschang, Cameroun;
2 Unite de Recherche de Mécanique et de Modélisation des Systèmes Physiques(UR-2 MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroun;
3 Department of Physics, Higher Teacher Training College Bambili, University of Bamenda, P. O. Box 39 Bamenda, Cameroon

收稿日期:2019-11-26 修回日期:2019-12-25 出版日期:2020-03-05 发布日期:2020-03-05
通讯作者: F B Pelap E-mail:fbpelap@yahoo.fr

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

S A T Fonkoua¹, M S Ngounou¹, G R Deffo², F B Pelap², S B Yamgoue³, A Fomethe²

1 Unite de Recherche de Matière Condensée d'Electronique et de Traitement du Signal(UR-MACETS), Faculté des Sciences, Université de Dschang, BP 67 Dschang, Cameroun;
2 Unite de Recherche de Mécanique et de Modélisation des Systèmes Physiques(UR-2 MSP), Faculté des Sciences, Université de Dschang, BP 69 Dschang, Cameroun;
3 Department of Physics, Higher Teacher Training College Bambili, University of Bamenda, P. O. Box 39 Bamenda, Cameroon

Received:2019-11-26 Revised:2019-12-25 Online:2020-03-05 Published:2020-03-05
Contact: F B Pelap E-mail:fbpelap@yahoo.fr

摘要/Abstract

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 Schrödinger 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

Abstract: 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 Schrödinger 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.

Key words: Noguchi network, nonlinear quadratic dispersion, modulational instability, soliton

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Yv (Solitons)

S A T Fonkoua, M S Ngounou, G R Deffo, F B Pelap, S B Yamgoue, A Fomethe. Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion[J]. 中国物理B, 2020, 29(3): 30501-030501.

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

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

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