Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation

Лаврова, С. Ф.; Kudryashov, Nikolay A.

doi:10.1007/s11082-023-05194-w

Opt Quant Electron

2023

DOI: 10.1007/s11082-023-05194-w

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Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation

С. Ф. Лаврова

Nikolay A. Kudryashov

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Cited by 6 publications

References 52 publications

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Optical soliton solutions of complex Ginzburg–Landau equation with triple power law and modulation instability

Onder,

Esen,

Ozisik

et al. 2024

Opt Quant Electron

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This paper examines the complex Ginzburg Landau equation, which describes pulse propagation inside a fiber with the triple power law of self-phase modulation. Since the effect of parameter selection has become very important in relevant model studies recently, self-phase modulation has been added to the complex Ginzburg Landau equation, which has been studied in the literature, and it is aimed at investigating the analytical solutions of the presented equation. Adding the triple power law of the self-phase modulation parameter to the model, in addition to existing studies in the literature, emphasizes the innovative aspect and importance of the study. The first aim is to reveal bright and singular solitons using the new Kudryashov method. The new Kudryashov method is a technique that is frequently used in the literature, is effective for generating analytical solutions, provides ease of operation, and can be applied to a wide class of nonlinear partial differential equations. The second goal is to show that the obtained solutions have modulation stability. By using modulation instability analysis, the gain spectrum is formed for different parameter values. Graphic presentations support the findings. Moreover, bright and singular soliton portraits are demonstrated with 3D and 2D graphs. The novelty of the study lies in the fact that the relevant model has not been studied before with an effective method such as the new Kudryashov method, and the modulation instability has been studied for the first time.

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Optical soliton solutions of complex Ginzburg–Landau equation with triple power law and modulation instability

Onder,

Esen,

Ozisik

et al. 2024

Opt Quant Electron

View full text Add to dashboard Cite

show abstract

From conservation laws of generalized Schrödinger equations to exact solutions

Kudryashov,

Nifontov

2024

J Opt

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Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity

Kudryashov,

Zhou,

Dai

2023

Physics Letters A

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Suppression of chaos in the periodically perturbed generalized complex Ginzburg–Landau equation by means of parametric excitation

Cited by 6 publications

References 52 publications

Optical soliton solutions of complex Ginzburg–Landau equation with triple power law and modulation instability

Optical soliton solutions of complex Ginzburg–Landau equation with triple power law and modulation instability

From conservation laws of generalized Schrödinger equations to exact solutions

Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity

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