Application of the split-step Fourier method in investigating a bright soliton solution in a photorefractive crystal

Ripai, Ahmad; Abdullah, Zulfi; Syafwan, Mahdhivan; Hidayat, Wahyu

doi:10.1063/5.0041878

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…As the result of this study, we find the phenomenon of solitons in a DNA dynamics system. This is a highly expected result because until now, the existence of solitons in DNA dynamics systems is still challenging to find [36][37][38][39][40][41][42][43][44]. Moreover, we also include the interaction between DNA and bio-fluid.…”

Section: -Numerical Results and Discussionmentioning

confidence: 99%

“…This approach is based on the concept of splitting linearity and nonlinearity term of the DNA system-several discussions regarding the application of the split-step Fourier method. Recently, Ripai et al have successfully demonstrated and applied the method to an NLS equation to investigate soliton dynamics and evolution in a nonlinear medium [36,37]. We also apply similar principles to the case of DNA by substituting the coupling constant K = 0.06 eV /A 2 , dissociation energy D = 0.04 eV, spatial scaling factor α = 0.04 A −1 , nitrogenous base mass m = 300 amu, the distance between base pairs l = 4.3 Å, and Boltzmann's constant kB = 8.61733 × in the calculation process.…”

Section: -Numerical Results and Discussionmentioning

confidence: 99%

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Soliton-like Solution on the Dynamics of Modified Peyrard-Bishop DNA Model in the Thermostat as a Bio-Fluid

et al. 2022

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The Peyrard-Bishop (PB) DNA model is the most representative model to investigate DNA dynamics because the model is able to answer DNA denaturation processes even though the model has restricted review that DNA assumes without surrounding interaction. In this study, we investigate the dynamics of the modified PB DNA model by considering DNA in the Nosé-Hoover thermostat as a bio-fluid with various viscosities. Viscosity variations are reviewed through temperature variations, namely thermal viscosity. We attain the dynamical equation of DNA in the form of a nonlinear Schrödinger-like (NLS-like) equation by using the perturbation method and continuous approximation. We solve the NLS-like equations by the numerical split-step Fourier method. We obtain a soliton-like solution for the dynamics of this specific DNA model. The behavior of the soliton-like solution fluctuates as the temperature increases, representing the fluctuational openings of DNA, i.e., denaturation bubbles. In addition, that behavior also evolves with variations of the perturbation parameter. Moreover, we obtain soliton-like solutions by balancing the perturbation and the nonlinearity of the DNA system from the bio-fluid interaction. Furthermore, for the specific thermal viscosity of bio-fluid, we gain the denaturation temperature at 370 K ≤ T ≤ 380 K. Doi: 10.28991/ESJ-2022-06-04-01 Full Text: PDF

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Section: -Numerical Results and Discussionmentioning

confidence: 99%

Section: -Numerical Results and Discussionmentioning

confidence: 99%

Soliton-like Solution on the Dynamics of Modified Peyrard-Bishop DNA Model in the Thermostat as a Bio-Fluid

et al. 2022

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An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

et al. 2022

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We present an exact solution of the nonlinear Schrödinger equation (NLSE) for beam propagation in nonlinear fiber optics. It is a lossy fiber system with the beam as solitons. Fiber losses are understood to reduce the peak power of solitons along the fiber length. That is due to its value depending on the fiber attenuation constant of α. Considering fiber loss features on the equation, we write one set modification of the NLSE and make models the main topic of our work. We solved the model and found a straightforward analytical solution of modified NLSE for the system via the direct solution method. To the best of our knowledge, no literature has presented such as solution yet. By substituting them into equations, we validate solutions. It is valid as an exact solution to the NLSE. Lastly, we found a solution offering soliton propagation suitable for the system under study.

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Application of the split-step Fourier method in investigating a bright soliton solution in a photorefractive crystal

Cited by 2 publications

References 11 publications

Soliton-like Solution on the Dynamics of Modified Peyrard-Bishop DNA Model in the Thermostat as a Bio-Fluid

Soliton-like Solution on the Dynamics of Modified Peyrard-Bishop DNA Model in the Thermostat as a Bio-Fluid

An Exact Solution of Nonlinear Schrödinger Equation in a Lossy Fiber System Using Direct Solution Method

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