https://doi.org/10.1140/epjp/s13360-024-05607-z
Regular Article
Kruskal simplification in carbon nanotube system arrays dynamics
1
Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
2
National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Yaoundé, Cameroon
3
Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
Received:
4
March
2024
Accepted:
30
August
2024
Published online:
8
September
2024
We delve into the dynamics of the carbon nanotube system arrays while unwrapping their structural properties by means of the Weiss–Tabor–Carnevale method designed for the partial differential evolution equations. Looking forward to mitigating the huge mathematical development associated with such an approach, we discuss deeply some powerful reductive scheme known as the Kruskal simplification formalism. As a result, we find the system passes the Painlevé-test. Further, we show that the system is completely integrable with respect to their additional integrability properties, namely, the Bäcklund transformation and the Hirota’s bilinearization. Following the underlying features of the Kruskal’s approach to generating in a straightforward manner some typical solutions, we tread into the physical implications of such waveguide structures.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
