Effect of ansatz on soliton propagation pattern in photorefractive crystals

Ripai, Ahmad; Sutantyo, Trengginas Eka Putra; Abdullah, Zulfi; Syafwan, Mahdhivan; Hidayat, Wahyu

doi:10.1088/1742-6596/1876/1/012009

Cited by 6 publications

(8 citation statements)

References 7 publications

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“…In this situation, we observed modulation instability that assumes the focusing of Kerr effects, i.e., the group velocity dispersion β2 takes more dominants. Of course, this situation indicates that the one-soliton is in anomalous regimes (Agrawal, 2013;Ripai, A. Sutantyo, T. E. P., Abdullah, Z., Syafwan, M. & Hidayat, 2021). We found that the modulation instability causes the one-soliton to propagate like soliton trains along the plane (Figures (3b) and (3c)).…”

Section: Figure (mentioning

confidence: 64%

The Bilinear Formula in Soliton Theory of Optical Fibers

Saputra

Ripai

Abdullah

2022

JFU

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Solitons are wave phenomena or pulses that can maintain their shape stability when propagating in a medium. In optical fibers, they become general solutions of the Non-Linear Schrödinger Equation (NLSE). Despite its mathematical complexity, NLSE has been an interesting issue. Soliton analysis and mathematical techniques to solve problems of the equation keep doing. Yan Chen (2022) introduced them based on bilinear formula for the case of the generalized NLSE extended models into third and fourth-order dispersions and cubic-quintic nonlinearity. In this paper, we review the form of the bilinear formula for the case. We re-observed a one-soliton solution based on the formula and verified the work of the last researcher. Here, the mathematical parameters of position α(0) and phase η are verified to become features of change in horizontal position and phase of one soliton in the (z, t) plane during propagation. In addition, we notice the soliton has established stability. Finally, for the condition Kerr effect focusing or the group velocity dispersion β2 more dominates, we present like the soliton trains in optical fibers under modulation instability of plane wave.

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Section: Figure (mentioning

confidence: 64%

The Bilinear Formula in Soliton Theory of Optical Fibers

Saputra

Ripai

Abdullah

2022

JFU

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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%

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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“…Often in some domains, the hyperbolic and exponential terms in the governing equations may cause inaccuracies and the nonlinear component becomes weak. Hence, it creates solution forms of higher stability -reduced resistance to dispersion in the system [1]. Although a wide range of approaches has been adapted to solve such NLPD [2][3][4], the dependencies of their solution on certain classical parameters are not explored.…”

Section: Introductionmentioning

confidence: 99%

Nanosecond dynamics of solitons in confined Bose-Einstein condensates

Vinitha

Ghosh

2023

Preprint

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Nanoscale anisotropic dynamical systems are tedious to solve in a classical domain without any approximation techniques. In such cases, the interactive space and force are significant in defining their motions. We solve and simulate the phase transition motion of water in the interface of 3 μm × 3 μm confined water domain. We demonstrate the presence of solitons in Bose-Einstein condensate at a nanosecond time scale by solving a nonlinear partial differential equation. We find an exact solution of the 2D Gross-Pitaevskii equation with XY-model using the Heisenberg picture which creates solitons and condensate nucleation.

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Effect of ansatz on soliton propagation pattern in photorefractive crystals

Cited by 6 publications

References 7 publications

The Bilinear Formula in Soliton Theory of Optical Fibers

The Bilinear Formula in Soliton Theory of Optical Fibers

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

Nanosecond dynamics of solitons in confined Bose-Einstein condensates

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