Higher Order Periodic Base Pairs Opening in a Finite Stacking Enthalpy DNA Model

Nfor, Nkeh Oma

doi:10.4236/jmp.2021.1213107

Cited by 9 publications

(6 citation statements)

References 43 publications

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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%

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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%

“…However for non-varnishing values of 2 and 4 , the potential wells are asymmetric as with equation (2). The dynamics of periodic base pairs opening in a finite stacking enthalpy DNA was recently investigated for non zero values of all the coefficients 1 , 2 , 3 , 4 , 5 [43].…”

Section: The Modelmentioning

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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“…We now focus on high degree of oceanic inter plate coupling at subduction zones in which 𝛾 ≠ 0 [Nkomom et al, 2021;Akishin et al, 2000;Pelap et al, 2016]. Consequently we consider small amplitude oscillation wave solution to equation ( 10), by employing the multiple-scale method [Remoissenet, 1986;Nfor et al, 2021;Nfor, 2021;Nfor et al, 2018;Nfor and Mokoli, 2016]. We initially introduce the change of variable…”

Section: Nonlinear Wave Dynamics In Subduction Zonesmentioning

confidence: 99%

“…The main equation of motion describing the dynamics of the system is the one for which the function is the soliton solution, hence the amplitude will be considered slowly changing in space and time. Therefore, this amplitude is treated as functions of the new space and time scales respectively [Remoissenet, 1986;Nfor et al, 2021;Nfor, 2021].…”

Section: Nonlinear Wave Dynamics In Subduction Zonesmentioning

confidence: 99%

On the possibility of rogue wave generation based on the dynamics of modified Burridge-Knopoff model of earthquake fault

Nfor

Ndoh²,

Tingue³

et al. 2023

Annals of Geophysics

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In this study we propose a modified Burridge‐Knopoff model of earthquake fault, in which two tectonic plates are strongly coupled by nonlinear springs. By minimizing the effects of the veloci‐ ty‐weakening stick‐slip friction force between the masses and the moving surface, and in the limit of low amplitude oscillations; the system exhibits both stick‐slip and damped oscillatory motions as the values of some parameters are varied. Such motions usually characterize the dynamics of an earthquake fault, even though it is not always felt because of the low amplitude of vibrations. However when enough stress builds up in the subduction zones to overcome the frictional forces between tectonic plates, the oceanic rocks suddenly slip and there is violent release of energy at the epicentre. This outburst of energy simply signifies the generation of a very large amplitude and localized nonlinear wave. Such wave profile exactly fits the Peregrine solution of the damped/ forced nonlinear Schrodinger amplitude equation, derived from the modified one‐dimensional Burridge‐Knopoff equation of motion. In the regime of minimal or no frictional forces, these mon‐ ster waves suddenly appear and disappear without traces as shown by the numerical investigations. Our results strongly suggest that rogue waves emanates from the dynamics of nonlinearly coupled tectonic plates in subduction zones. This is further complemented by the fact that these giant waves were initially observed in Pacific and Atlantic oceans, which play hosts to the world’s largest oceanic subduction zones.

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“…where the constant C is nonzero and negative and operating in the anomalous dispersion regime (β < 0), we assume that equation ( 16) possesses solution of the form [16,29,[42][43][44]…”

Section: Analytic Solutionsmentioning

confidence: 99%

On dynamics of elliptic solitons in lossy optical fibers

Nfor¹,

Jaja²

2022

J. Opt.

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By exploiting the theory of electromagnetic waves from the Maxwell’s equations, the damped nonlinear Schrödinger equation is shown to govern the evolution of nonlinear periodic optical signals in a lossy optical ﬁber. These optical periodic pulses are mainly generated by the classical process of modulational instability in which nonlinearity is balanced by chromatic dispersion in the anomalous regime, with the linear loss generally suppressing the existence of soliton trains during propagation down the lossy ﬁber. When the periodic optical wave trains are subjected to weak external perturbations, this leads to the exposure of some internal modes of the system which are bound states solutions of the ﬁrst order Lamé equation. These modes generally characterize various fundamental background excitations that co-propagate with the optical periodic signals in the ﬁber. Direct numerical simulations of the damped nonlinear Schrödinger amplitude equation depicts the exponential decrease in the amplitude and corresponding increase in the width of the wave trains during propagation. Power lasers are used in order to compensate for ﬁber losses; this is realized via time-division multiplexing of optical pulses which are periodically pumped into the lossy ﬁber at regular distance within the framework of distributed ampliﬁcation scheme. This leads to the regular energy restoration in the lossy ﬁber as a result of the interactions between the energized multiplexed light signals (generated by the power lasers) and the propagating damped optical pulses, hence ensuring eﬀective transmission over long distances.

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Higher Order Periodic Base Pairs Opening in a Finite Stacking Enthalpy DNA Model

Cited by 9 publications

References 43 publications

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

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

On the possibility of rogue wave generation based on the dynamics of modified Burridge-Knopoff model of earthquake fault

On dynamics of elliptic solitons in lossy optical fibers

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