Abstract
In the present chapter, we study the generation of nonlinear modulated waves in one-dimensional real electrical lattices. In the continuum limit, we use the semi-discrete approximation to show that the dynamics of modulated waves through the networks under considerations are governed by derivative equations of Schrödinger type including the generalized Chen–Lee–Liu equation and the cubic–quintic derivative NLS equations. Through the analytical exact solutions of the derived network equations, we investigate the transmission of modulated pulses through the networks. The effects of linear dispersive element on the voltage signals are investigated.
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Liu, WM., Kengne, E. (2019). Derivative Nonlinear Schrödinger Equations for Single Transmission Lines. In: Schrödinger Equations in Nonlinear Systems. Springer, Singapore. https://doi.org/10.1007/978-981-13-6581-2_4
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DOI: https://doi.org/10.1007/978-981-13-6581-2_4
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