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Research Article | Open Access

Exotic radiative breather solitons in DNA-related dynamics

Umar Muhammad Dauda1( )Hanita Daud2Hadil Alhazmi3Nazreen Waeleh4Sani Saleh Musa5
Department of Mathematics, Faculty of Computing & Mathematical Sciences, Aliko Dangote University of Science & Technology, Kano, Nigeria
Department of Applied Sciences, Universiti Teknologi PETRONAS, 32610 Seri Iskandar, Malaysia
Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Faculty of Electronics and Computer Technology and Engineering, Universiti Teknikal Malaysia Melaka (UTeM), 76100 Durian Tunggal, Melaka, Malaysia
Department of Mathematics, Jigawa State College of Education & Legal Studies, Jigawa, Nigeria
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Abstract

We employ the variational principle of calculus and continuum approximation approach to generate a useful dynamical equations to describe the dynamics of deoxy-ribonucleic acid (DNA). Based on the choice of temperature dependent potential function, we establish a better understanding of the effect of variations in temperature T on the dynamics of the underlying system. The mathematical model yields a wave packet solution whose nonlinear superposition gives a special kind of "radiative breather soliton" possessing the periodic lossless energy transfer property. The findings show the existence of breathers in DNA dynamics and provide clear reaffirmation of solitary waves in the behaviour of DNA.

CLC number: 35B38, 35C07, 35K57, 35L05, 35L20

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AIMS Mathematics
Pages 18614-18642

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Cite this article:
Dauda UM, Daud H, Alhazmi H, et al. Exotic radiative breather solitons in DNA-related dynamics. AIMS Mathematics, 2026, 11(6): 18614-18642. https://doi.org/10.3934/math.2026757

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Received: 18 February 2026
Revised: 10 April 2026
Accepted: 18 May 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)