The fourth-order dispersion effect on the soliton waves and soliton stabilities for the cubic-quintic Gross–Pitaevskii equation

Li, Li; Yu, Fajun

doi:10.1016/j.chaos.2023.114377

Cited by 5 publications

(1 citation statement)

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“…Solutions aid in the understanding of nonlinear physical and natural systems. In several basic sciences, including mathematics and engineering, non-partial differential equations (NPDEs) are used to approximate a variety of processes and dynamics [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Shakeel,

Liu,

Alshammari

2024

Fractal Fract

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This paper discusses the time-fractional nonlinear Schrödinger model with optical soliton solutions. We employ the f+(G′G)-expansion method to attain the optical solution solutions. An important tool for explaining the particular explosion of brief pulses in optical fibers is the nonlinear Schrödinger model. It can also be utilized in a telecommunications system. The suggested method yields trigonometric solutions such as dark, bright, kink, and anti-kink-type optical soliton solutions. Mathematica 11 software creates 2D and 3D graphs for many physically important parameters. The computational method is effective and generally appropriate for solving analytical problems related to complicated nonlinear issues that have emerged in the recent history of nonlinear optics and mathematical physics. Furthermore, we venture into uncharted territory by subjecting our model to chaotic and sensitivity analysis, shedding light on its robustness and responsiveness to perturbations. The proposed technique is being applied to this model for the first time.

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Section: Introductionmentioning

confidence: 99%

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Shakeel,

Liu,

Alshammari

2024

Fractal Fract

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Bifurcation soliton solutions, M-lump, breather waves, and interaction solutions for (3+1)-dimensional
Wang,
Tian,
Ma
et al. 2025
Chaos, Solitons & Fractals

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Exact soliton solutions of Gross Pitaevskii equation with a variable shape optical lattice potential

Oztas,

Kaplan

2024

Physics Letters A

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The fourth-order dispersion effect on the soliton waves and soliton stabilities for the cubic-quintic Gross–Pitaevskii equation

Cited by 5 publications

References 55 publications

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Bifurcation soliton solutions, M-lump, breather waves, and interaction solutions for (3+1)-dimensional
Wang,
Tian,
Ma
et al. 2025
Chaos, Solitons & Fractals

Exact soliton solutions of Gross Pitaevskii equation with a variable shape optical lattice potential

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The fourth-order dispersion effect on the soliton waves and soliton stabilities for the cubic-quintic Gross–Pitaevskii equation

Cited by 5 publications

References 55 publications

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Exploring the Depths: Soliton Solutions, Chaotic Analysis, and Sensitivity Analysis in Nonlinear Optical Fibers

Bifurcation soliton solutions, M-lump, breather waves, and interaction solutions for (3+1)-dimensional Wang, Tian, Ma et al. 2025Chaos, Solitons & Fractals

Exact soliton solutions of Gross Pitaevskii equation with a variable shape optical lattice potential

Contact Info

Product

Resources

About

Bifurcation soliton solutions, M-lump, breather waves, and interaction solutions for (3+1)-dimensional
Wang,
Tian,
Ma
et al. 2025
Chaos, Solitons & Fractals