https://doi.org/10.1140/epjp/s13360-023-04045-7
Regular Article
Electrical solitary waves on a transmission line periodically loaded with resonant tunneling diodes using some different methods
1
Department of Physics, Faculty of Science, University of Yaoundé I, PO Box 812, Yaoundé, Cameroon
2
Department of Electrical and Electronic Engineering, Faculty of Engineering and Technology, University of Buea, PO Box 63, Buea, Cameroon
3
ZHO, Optoelektronik, Universität Duisburg-Essen, 47048, Duisburg, Germany
Received:
12
September
2022
Accepted:
30
April
2023
Published online:
22
May
2023
The characteristics of dissipative nonlinear transmission line (NLTL) periodically loaded with resonant tunneling diode (RTD) are discussed pertaining to the development of solitons. This line is highly dissipative, and thus, when appropriately designed, it reduces dissipative effect introduced by RTD so as to support solitons on long distance. The reductive perturbation technique in the limit of the continuum approximation is applied to the dissipative NLTL equation. As a result, the expanded Schamel–Korteweg–de Vries–Burgers (ES-KdVB) equation governs wave properties at long wavelengths. Furthermore, we subsequently applied extended (Gʹ/G)-expansion method, simplest equation method, exp(
)-expansion method and modified auxiliary equation method in order to obtain analytical solutions of the S-KdVB equation in terms of kink and antikink solitons. Thereby, by using the modeled network, the stability analysis of analytical solutions relating thereto is investigated on the basis of the Hamiltonian system along with parameters effects on the transmission of modulated waves. Finally, the paramount role of RTD in the wave amplification is highlighted on the active and dissipative NLTL as soliton propagates by using numerical calculations based on the finite-difference time-domain method.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
