Nonlinear Schrödinger Equations of Single Transmission Lines

  • Wu-Ming LiuEmail author
  • Emmanuel Kengne


The present chapter deals with the investigation of the dynamics of modulated waves propagating through a modified single nonlinear transmission network in both cases when the second-neighbor interactions are neglected and when the second-neighbor interactions are taken into account. Using the reductive perturbation approach in the semidiscrete approximation, we show that the dynamics of modulated wave in the two systems are governed by equations of Schrödinger type. With the help of these equations, we investigate quantitatively and qualitatively the properties of modulated waves including bright solitons, dark solitons, kink, and anti-kink solitonic pulses in the networks under consideration.


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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Physics Chinese Academy of SciencesBeijingChina
  2. 2.Department of Computer Science and EngineeringUniversity of Quebec at OutaouaisGatineauCanada

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