https://doi.org/10.1140/epjp/s13360-025-06792-1
Regular Article
Compact-like pulses along a low-pass reaction–diffusion electrical network with second-neighbor interactions effects
1
Department of Mechanical and Industrial Engineering, National Higher Polytechnic Institute (NAHPI), University of Bamenda, P.O. Box 39, Bambili, Cameroon
2
Department of Electrical and Electronic Engineering, National Higher Polytechnic Institute (NAHPI), University of Bamenda, P.O. Box 39, Bambili, Cameroon
3
Département de physique, Faculté des Sciences, Université de Bertoua, BP 416, Bertoua, Cameroun
4
Department of Physics, Higher Teacher Training College Bambili, The University of Bamenda, P.O. Box 39, Bambili, Cameroon
5
Unité de Recherche de Mécanique et de Modélisation des Systémes Physiques (UR-2MSP), Département de Physique, Université de Dschang, BP 63, Dschang, Cameroon
6
Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana
Received:
26
April
2025
Accepted:
25
August
2025
Published online:
11
September
2025
This paper analytically and numerically explores the effects of second-neighbor interactions on the propagation and on the compact parameters of a compact-like wave packet in a low-pass reaction–diffusion electrical transmission line with the intersite circuit elements acting as nonlinear resistances. For the small amplitude signals in the network, the model equations are derived using Kirchhoff laws, which are eventually transformed to a family of nonlinear Burgers equation via the continuum limit approximations. Cusp, peak and compact-like solitary wave solutions of the equation have been derived, depending on the sign of the product of the nonlinearity coefficients. The width is related to the coefficients of the nonlinear dispersive terms and independent of its wave amplitude. The second-neighbor couplings generally well influence the wave width, increase the bandwidth frequencies of the network, modify group velocity and energy transmission of the wave during propagation. It is obvious that the second-neighbor interactions may equally trigger the simultaneous propagation of two nonlinear waves with the same frequency and minimize the dissipative effects on the compact-like pulse voltage signal of the nonlinear electrical transmission line. Our proposed electrical circuit has potential applications in high-speed electronic devices.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
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.
