https://doi.org/10.1140/epjb/s10051-025-00998-z
Research - Statistical and Nonlinear Physics
Breather bright solitary waves generation induced by lattice deformations and electron–peptide asymmetry interaction degree in a generalized Davydov–Scott model for polarons in linear peptide chains
1
African Centre for Advanced Studies, P. O. Box 4477, Yaounde, Cameroon
2
Department of Mathematics and Physical Sciences, National Advanced School of Engineering of Yaounde, University of Yaounde I, P. O. Box 8390, Yaounde, Cameroon
3
Department of Maintenance, Higher Technical Teachers Training College, University of Ebolowa, P. O. Box 886, Ebolowa, Cameroon
4
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon
Received:
10
May
2025
Accepted:
29
June
2025
Published online:
14
July
2025
Polarons are quasiparticles whose properties are well known to influence important properties of material and nowadays, are expected to affect the dynamics of biomolecules. Elaborating on a recently introduced generalized model of linear polypeptides chains like the 
-helical chains of proteins, the generation and emergence of breather bright solitary waves is analyzed via the modulation instability mechanism. It is shown that important features of the model, the right lattice deformations, and the degree of spatial asymmetry of the electron–peptide interactions profoundly alter the instability and the emergence of breather bright solitary waves. Analytical predictions of modulation instability are corroborated by intensive numerical simulations. Right lattice deformations favor the instability and the emergence of breather bright solitary waves, while the degree of spatial asymmetry of the electron–peptide interaction softens the instability. The lifetime of bright solitary waves generated in this work being within experimental range suggests that they are good candidates to explain transport and energy localization of amide-I excitations for example.
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© The Author(s), under exclusive licence to EDP Sciences, SIF 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.
