Analytical treatment with the Nucci reduction technique on the p-forced nonlinear Klein–Gordon equation

Hashemi, M. S.; Gulsen, S.; Inc, Mustafa; Aslan, E. C.

doi:10.1007/s11082-023-05538-6

Opt Quant Electron

2023

DOI: 10.1007/s11082-023-05538-6

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Analytical treatment with the Nucci reduction technique on the p-forced nonlinear Klein–Gordon equation

M. S. Hashemi,

S. Gulsen,

Mustafa Inc

et al.

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2024

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Cited by 3 publications

References 56 publications

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Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Kazmi,

Riaz,

Jhangeer

2024

Nonlinear Dyn

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Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Kazmi,

Riaz,

Jhangeer

2024

Nonlinear Dyn

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Multiwaves and optical soliton solutions with the concatenation model in the optical fibers

Aslan,

Youssoufa,

Deniz

et al. 2024

Opt Quant Electron

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Study for obtaining the exact solutions for the propagation of pulses in optical fibers

Akbulut,

Razzaq,

Tascan

2024

Commun. Theor. Phys.

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In this study, the exact solutions for the propagation of pulses in optical fibers are obtained. Special values are given in the model used, and two nonlinear differential equations are obtained. Nonlinear equations are reduced to ordinary differential equations with the help of wave transformations. Then, the obtained differential equations are solved by two different methods, namely the modified simplest equation and the modified Kudryashov procedures. The solutions are given by hyperbolic, trigonometric and rational functions and the results are useful for optics, engineering and other related areas. Finally three-dimensional, contour and two-dimensional shapes are given for some solutions. These figures are important for understanding the motion of the wave. The given methods are applied to the equations for the first time. To the best of the authors’ knowledge, these results are new and have not been obtained in the literature. The results are useful for applied mathematics, physics and other related areas.

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Analytical treatment with the Nucci reduction technique on the p-forced nonlinear Klein–Gordon equation

Cited by 3 publications

References 56 publications

Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Analyzing N-solitons, breathers, and hybrid interactions: comparisons of localized wave dynamics through data points

Multiwaves and optical soliton solutions with the concatenation model in the optical fibers

Study for obtaining the exact solutions for the propagation of pulses in optical fibers

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