https://doi.org/10.1140/epjp/s13360-023-04481-5
Regular Article
Modulation instability and nonlinear coupled-mode excitations in single-wall carbon nanotube
1
Department of Basic Science, National Advanced School of Mines and Petroleum Industries, The University of Maroua, P.O Box 08, kaélé, Cameroon
2
Department of Marine Engineering, Limbé Nautical Arts and Fisheries Institute, P.O Box 485, Limbé, Cameroon
3
Department of Mathematics, Hampton University, Hampton, VA, USA
4
Department of Physics, Faculty of Science, The University of Ngaoundèré, P.O Box 454, Ngaoundèré, Cameroon
a
abbagaris@yahoo.fr
b
ahouw220@yahoo.fr
c
lanre.akinyemi@hamptonu.edu
Received:
18
June
2023
Accepted:
14
September
2023
Published online:
26
September
2023
In this paper, we investigate the dynamics of coupled nonlinear waves and the modulated wave patterns in a single-wall carbon nanotube. We use an external on-site potential and the Brenner potential to derive the discrete equation of motion of the structure, where the nearest-neighbor interaction is included. Using the quasi-discrete multiple-scale approach, the coupled nonlinear Schrödinger equation is derived. The linearized technique is used to derive an expression of the modulation instability growth rate. For specific values of the inter-atomic interaction potential (i.e., nearest-neighbor parameters), the bandwidths and the modulation instability growth rate have been subjected to modification in amplitude. A particular attention has also been paid to the single and coupled excitation modes, where bright and dark solitons are pointed out in the lower and upper frequency gaps. Via numerical simulations, confirmations of the effects of inter-atomic interaction potential are given, where trains of waves are displayed to manifest the growth of the plane wave. We have also demonstrated that for strong values of the excitation wave number, wave patterns arise in the structure to confirm the fact that the continuous wave is sensitive to its variations. The prominent aspects of this work rely on the inter-atomic interaction potential effects on the bright and dark solitons and the modulation instability as an appropriate tool to control the nonlinear waves in single-wall carbon nanotubes.
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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.
