The Solitary Wave Solution for Quantum Plasma Nonlinear Dynamic Model

Yihu, Feng; Hou, Liang

doi:10.1155/2020/5602373

Cited by 10 publications

(3 citation statements)

References 23 publications

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“…This means that the laser spot radius does not change and the type of propagation is constant propagation. The corresponding power can be obtained by solving As we known, solitary waves are typical solutions for a variety of nonlinear systems, such as in the deep ocean [47], plasmas [48] and others. Here, a bright solitary wave means a single 'hump' of r s , while a dark solitary wave represents a single 'pit' of r s .…”

Section: Propagation Types and Characteristicsmentioning

confidence: 99%

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Hong¹,

Stankovic²,

Gao³

et al. 2021

Plasma Sci. Technol.

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By containing ponderomotive self-channeling, the propagation behavior of an intense laser beam and the physical conditions are obtained theoretically in a radial power-law plasma channel. It is found that ponderomotive self-channeling results in the emergence of a solitary wave and catastrophic focusing, which apparently decreases the region for stable propagation in a parameter space of laser power and the ratio of the initial laser spot radius to the channel radius (RLC). Direct numerical simulation confirms the theory of constant propagation, periodic defocusing and focusing oscillations in the parameter space, and reveals a radial instability which prevents the formation of bright and dark solitary waves. The corresponding unstable critical curve is added in the parameter space numerically and the induced unstable region above the unstable critical curve covers that of catastrophic focusing, which shrinks the stable region for laser beams. For the expected constant propagation, the results reveal the need for a low RLC. Further study illustrates that the channel power-law exponent has an obvious effect on the final stable region and laser propagation, for example increasing this exponent can enlarge the stable region significantly, which is beneficial for guiding of the laser and increases the lowest RLC for constant propagation. Our results also show that the initial laser amplitude has an apparent influence on the propagation behavior.

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Section: Propagation Types and Characteristicsmentioning

confidence: 99%

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Hong¹,

Stankovic²,

Gao³

et al. 2021

Plasma Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…Now, nonlinearity is a powerful research field, and its strength is thought of through a swear-amplitude wave oscillation examined in abundant fields from optics and laser technology, shallow water waves, electrical and electronics, quantum physics, plasma physics, natural science, and biological phenomena. Different nonlinear phenomena occurring in the real world can be conveyed by way of NPDEs, and their real properties are thought of through solitonic solutions observed in several fields such as nonlinear science and engineering [ 1 , 2 ], bio-science [ 3 ], dual-power law [ 4 ], optics and laser technology [ 5 ], plasma physics [ 6 ], biological science [ 7 ], and etc.. Most of such phenomena in real life can be represented as nonlinear PDEs.…”

Section: Introductionmentioning

confidence: 99%

Dynamical exploration of optical soliton solutions for M-fractional Paraxial wave equation

Bashar,

Ghosh,

Rahman

2024

PLoS ONE

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This work explores diverse novel soliton solutions due to fractional derivative, dispersive, and nonlinearity effects for the nonlinear time M-fractional paraxial wave equation. The advanced exp [-φ(ξ)] expansion method integrates the nonlinear M-fractional Paraxial wave equation for achieving creative solitonic and traveling wave envelopes to reconnoiter such dynamics. As a result, trigonometric and hyperbolic solutions have been found via the proposed method. Under the conditions of the constraint, fruitful solutions are gained and verified with the use of the symbolic software Maple 18. For any chosen set of the allowed parameters 3D, 2D and density plots illustrate, this inquisition achieved kink shape, the collision of kink type and rogue wave, periodic rogue wave, some distinct singular periodic soliton waves for time M-fractional Paraxial wave equation. As certain nonlinear effects cancel out dispersion effects, optical solitons typically can travel great distances without dissipating. We have constructed reasonable soliton solutions and managed the actual meaning of the acquired solutions of action by characterizing the particular advantages of the summarized parameters by the portrayal of figures and by interpreting the physical occurrences. New precise voyaging wave configurations are obtained using symbolic computation and the previously described methodologies. However, the movement role of the waves is explored, and the modulation instability analysis is used to describe the stability of waves in a dispersive fashion of the obtained solutions, confirming that all created solutions are precise and stable.

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“…Different nonlinear phenomena occurring in the real world can be conveyed by way of NPDEs, and their real properties are thought of through solitonic solutions observed in several fields such as nonlinear science and engineering [1,2], bio-science [3], hydrodynamics [4], and plasma physics [5,6]. Many researchers investigated solitons and allied them with features of solitary wave solutions such as mono-pulse water movement, which depicts the foremost soliton attained by Feng and Hou [7]. Diverse solitonics are found by Liu [8], Wazwaz [9], Rustam, Saha, and Chatterjee [10], Abdelsalam [11], and Roshid et al [12].…”

Section: Introductionmentioning

confidence: 99%

A variety of soliton solutions of time M-fractional: Non-linear models via a unified technique

Roshid,

Rahman,

Roshid

et al. 2024

PLoS ONE

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This work explores diverse novel soliton solutions of two fractional nonlinear models, namely the truncated time M-fractional Chafee-Infante (tM-fCI) and truncated time M-fractional Landau-Ginzburg-Higgs (tM-fLGH) models. The several soliton waves of time M-fractional Chafee-Infante model describe the stability of waves in a dispersive fashion, homogeneous medium and gas diffusion, and the solitary waves of time M-fractional Landau-Ginzburg-Higgs model are used to characterize the drift cyclotron movement for coherent ion-cyclotrons in a geometrically chaotic plasma. A confirmed unified technique exploits soliton solutions of considered fractional models. Under the conditions of the constraint, fruitful solutions are gained and verified with the use of the symbolic software Maple 18. Keeping special values of the constraint, this inquisition achieved kink shape, the collision of kink type and lump wave, the collision of lump and bell type, periodic lump wave, bell shape, some periodic soliton waves for time M-fractional Chafee-Infante and periodic lump, and some diverse periodic and solitary waves for time M-fractional Landau-Ginzburg-Higgs model successfully. The required solutions in this work have many constructive descriptions, and corporal behaviors have been incorporated through some abundant 3D figures with density plots. We compare the m-fractional derivative with the beta fractional derivative and the classical form of these models in two-dimensional plots. Comparisons with others’ results are given likewise.

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The Solitary Wave Solution for Quantum Plasma Nonlinear Dynamic Model

Cited by 10 publications

References 23 publications

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Dynamical exploration of optical soliton solutions for M-fractional Paraxial wave equation

A variety of soliton solutions of time M-fractional: Non-linear models via a unified technique

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