https://doi.org/10.1140/epjp/s13360-023-03885-7
Regular Article
Spectral stability and dynamics of solitary waves in a coupled nonlinear left-handed transmission line
1
Department of Physics, Faculty of Science, University of Maroua, P.O. Box 46, Maroua, Cameroon
2
Département des Sciences Fondamentales, ENSMIP, University of Maroua, P.O. Box 08, Kaélé, Cameroon
3
National Advanced School of Engineering, University of Maroua, Maroua, Cameroon
4
The Abdus Salam International Centre for Theoretical Physics, P.O. Box 538, Strada costiera 11, 34014, Trieste, Italy
Received:
5
September
2022
Accepted:
10
March
2023
Published online:
23
March
2023
We study the dynamics of modulated waves in a discrete coupled left-handed nonlinear transmission line, assuming a two-dimensional propagations variations. By means of semi-discrete approximation, we derive a two-dimensional nonlinear Schrödinger equation (2D NLSE) governing the propagation of modulated waves in the network. We derive linear boundary value problem governing the evolution of the perturbed system. We then compute numerically its eigenvalues using Fourier and finite difference differentiation matrices. Our results show that the system supports bright soliton in relatively frequency band in both transverse and longitudinal directions. We perform numerical simulations of both 2D NLSE and the nonlinear lattice model to study the stability (instability) and the propagation properties of an initial bright soliton. Our numerical results are in good agreement with the analytical predictions.
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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.
