Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Onder, Ismail; Seçer, Aydın; Bayram, Mustafa

doi:10.1088/1402-4896/acb680

Cited by 5 publications

(1 citation statement)

References 31 publications

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“…The instability of the pulse traveling in a fiber cable due to the Kerr nonlinearity and group velocity dispersion is called the modulation instability [48,49]. Later studies show that the modulation instability is used in instability analysis not only in fiber optic models but also in many models [50][51][52][53]. In this section, we have included the modulation instability of the studied model in equation (13).…”

Section: Modulation Instabilitymentioning

confidence: 99%

Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Secer,

Bayram,

Ozdemir

et al. 2024

Phys. Scr.

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In this manuscript, we take into account the nonlinear complex generalized Zakharov dynamicalsystem, which models the spread of the Langmuir waves in ionized plasma in a conformalsense. Fractional wave transformation is enforced to convert a nonlinear fractional systemto a nonlinear ordinary differential equation system. The new Kudryashov method, whichwas recently introduced and is an efficient method, is implemented in the presented equationin order to acquire analytical solutions. The required constraint conditions are offered toensure the validity of the obtained solutions. To analyze the physical interpretations of someof the produced solutions, we illustrate some graphical representations. We derive brightand singular solitons. Furthermore, 2D views of the behavior of soliton are represented toinvestigate the effect of the values of the parameters in the proposed model and the fractionalparameter. Also, the modulation instability of the model is investigated to ensure theobtained results are stable.

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Section: Modulation Instabilitymentioning

confidence: 99%

Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Secer,

Bayram,

Ozdemir

et al. 2024

Phys. Scr.

Self Cite

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Propagation of Optical Solitons to the Fractional Resonant Davey-Stewartson Equations

Younas,

Muhammad,

Rezazadeh

et al. 2024

Int J Theor Phys

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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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Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis

Cited by 5 publications

References 31 publications

Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Nonlinear complex generalized zakharov dynamical system inconformal sense utilizing new kudryashov method

Propagation of Optical Solitons to the Fractional Resonant Davey-Stewartson Equations

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

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