ArticleScientific reports2025
Soliton dynamics and stability analysis of a double-chain DNA model with various chaos detection tools.
Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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4 citing papers in PubMed.
- Applications of lump, breather, rogue, and various nonlinear waves in the modeling of blood vessels: analysis of the nonlinear Murray equation with heterogeneous wall properties.Cognitive neurodynamics · 2026Article
- Lump and breather interaction with different soliton solutions for the generalized doubly dispersive equation by embedded the neural networks.Scientific reports · 2026Article
- Formation of advanced soliton dynamics through the M-fractional regularized long-wave equation.Scientific reports · 2026Article
- Exact and numerical investigation of soliton dynamics in nonlinear oscillatory system.Science progressArticle
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2 authors.
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Abstract
This investigation employs an analytical approach, specifically the extended Jacobian elliptic expansion function method, to investigate the soliton dynamics of the double-chain model of DNA. Using this scheme, the kink wave, anti-kink wave, dark soliton, bright soliton, breather wave with a singularity, multiple breather waves with a singularity, and periodic wave are obtained. Next, the stability analysis of the governing equation is examined using linear stability theory. Moreover, stability assessment of the achieved outcomes is provided by the Hamiltonian approach. This study also employs various tools to explore the chaotic nature of the stated nonlinear problem, including strange attractors, recurrence plots, bifurcation plots, and fractal dimensions. The results demonstrate that our employed scheme is more efficient, more dependable, and easier to implement than any other scheme employed in the existing literature.
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