Discrete breathers dynamic in a model for DNA chain with a finite stacking enthalpy

Gninzanlong, Carlos Lawrence; Ndjomatchoua, Frank T.; Tchawoua, Clément

doi:10.1063/1.5009147

Cited by 10 publications

(1 citation statement)

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“…This study provides an elegant mathematical approach that can be used to rigorously study highly localized discrete modes in a DNA molecule. The dynamics of DNA is increasingly being investigated in order to adequately comprehend the formation of genetic codes, and intrinsic processes of replication and transcription [41,43,63,64]. Discrete solitons have also been shown to be very robust entities.…”

Section: Discussionmentioning

confidence: 99%

Modulational Instability and Discrete Localized Modes in Two Coupled Atomic Chains with Next-Nearest-Neighbor Interactions

Nfor

Yamgoué

2022

J Nonlinear Math Phys

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A pair of one dimensional atomic chains which are coupled via the Klein-Gordon potential is considered in this study, with each chain experiencing both nearest and next-nearest-neighbor interactions. The discrete nonlinear Schrödinger amplitude equation with next-nearest-neighbor interactions is thus derived from the out-phase equation of motion of the coupled chains. This is achieved by using the rotating wave approximations perturbation method, in which both the carrier wave and envelope are explicitly treated in the discrete regime. It is shown that the next-nearest-neighbor interactions greatly modifies the region of observation of modulational instability in the atomic chain. By exploring the discrete Hirota-Bilinear method, we obtain the discrete one-soliton solution which is localized around the origin and structurally stable because it conserves it form as time evolves. However when the atomic chain is purely subjected to a symmetric coupling potential, we observe a structurally unstable discrete excitation that changes into an up-and-down asymmetric localized modes; both in the presence and absence of next-nearest-neighbor interactions. Results of numerical simulations clearly depicts the long term evolution of these discrete nonlinear excitations, that evolve from symmetric to asymmetric localized modes in the atomic chain.

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Section: Discussionmentioning

confidence: 99%