Optical soliton solutions of Manakov model arising in the description of wave propagation through optical fibers

Akram, Ghazala; Sadaf, Maasoomah; Arshed, Saima; Farrukh, Mavra

doi:10.1007/s11082-024-06735-7

Opt Quant Electron

2024

DOI: 10.1007/s11082-024-06735-7

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Optical soliton solutions of Manakov model arising in the description of wave propagation through optical fibers

Ghazala Akram,

Maasoomah Sadaf,

Saima Arshed

et al.

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2024

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Cited by 2 publications

References 56 publications

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Study of structural, mechanical, thermodynamic, and optical properties of rare-earth based perovskite oxides AcXO3 (X = Al, Ga, In)

Mumtaz,

Rouf,

Masood

et al. 2024

Opt Quant Electron

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Study of structural, mechanical, thermodynamic, and optical properties of rare-earth based perovskite oxides AcXO3 (X = Al, Ga, In)

Mumtaz,

Rouf,

Masood

et al. 2024

Opt Quant Electron

View full text Add to dashboard Cite

Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion

Riaz,

Kazmi,

Jhangeer

et al. 2024

MATH

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<abstract><p>In this study, the underlying traits of the new wave equation in extended (3+1) dimensions, utilized in the field of plasma physics and fluids to comprehend nonlinear wave scenarios in various physical systems, were explored. Furthermore, this investigation enhanced comprehension of the characteristics of nonlinear waves present in seas and oceans. The analytical solutions of models under consideration were retrieved using the sub-equation approach and Sardar sub-equation approach. A diverse range of solitons, including bright, dark, combined dark-bright, and periodic singular solitons, was made available through the proposed methods. These solutions were illustrated through visual depictions utilizing 2D, 3D, and density plots with carefully chosen parameters. Subsequently, an analysis of the dynamical nature of the model was undertaken, encompassing various aspects such as bifurcation, chaos, and sensitivity. Bifurcation analysis was conducted via phase portraits at critical points, revealing the system's transition dynamics. Introducing an external periodic force induced chaotic phenomena in the dynamical system, which were visualized through time plots, two-dimensional plots, three-dimensional plots, and the presentation of Lyapunov exponents. Furthermore, the sensitivity analysis of the investigated model was executed utilizing the Runge-Kutta method. The obtained findings indicated the efficacy of the presented approaches for analyzing phase portraits and solitons over a wider range of nonlinear systems.</p></abstract>

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Optical soliton solutions of Manakov model arising in the description of wave propagation through optical fibers

Cited by 2 publications

References 56 publications

Study of structural, mechanical, thermodynamic, and optical properties of rare-earth based perovskite oxides AcXO3 (X = Al, Ga, In)

Study of structural, mechanical, thermodynamic, and optical properties of rare-earth based perovskite oxides AcXO3 (X = Al, Ga, In)

Unveiling solitons and dynamic patterns for a (3+1)-dimensional model describing nonlinear wave motion

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