Numerical simulations of the soliton dynamics for a nonlinear biological model: Modulation instability analysis.
basic_science · Level V
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- Record sourced from PubMed, PMID 36795692.
- Also identified by DOI 10.1371/journal.pone.0281318 and PMC identifier 9934424.
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Abstract
This article deals with studying the dynamical behavior of the DNA model proposed by Peyrard and Bishop. The proposed model is investigated using the unified method (UM). Unified method successfully extracts solutions in the form of polynomial and rational functions. The solitary wave solutions and soliton solutions are constructed. An investigation of modulation instability is also presented in this paper. 3D and 2D plots are presented to exhibit the physical behavior of some of the obtained solutions.
Medical subject headings
- Nonlinear Dynamics
- DNA