Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma

Madhukalya, B.; Das, Ranjan; Hosseini, K.; Băleanu, Dumitru; Hınçal, Evren

doi:10.1007/s11071-023-08262-8

Cited by 28 publications

(5 citation statements)

References 44 publications

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“…In Fig. (2), the frequencies ω (rad/s) are plotted versus k z (cm −1 ) for different temperature ratios of positive and negative ions keeping the densities fixed. The larger frequencies in Figs.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The reductive perturbation method (RPM) was employed to investigate the formation of electrostatic solitary structures by the nonlinear ion acoustic waves (IAWs) in the small amplitude limit in unmagnetized (B 0 = 0) plasma long ago [1]. Recently, the Korteweg-de Vries (KdV) and modified Kortewegde Vries (m-KdV) equations have been obtained for IAWs in unmagnetized plasma having negative ions as well [2]. Solitary structures of IAWs in magnetized electron positron ion plasma have also been investigated [3] assuming ions to be relativistic with non-zero positron density.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reductive perturbation method in magnetized plasma and role of negative ions

Saleem,

Shan,

Poedts

2023

Physics of Plasmas

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An analysis of reductive perturbation method (RPM) is presented to show why the solitary structures of non-linear ion acoustic waves (IAWs) cannot be obtained in magnetized electron ion plasma by employing this technique. In RPM, the non-linear Korteweg–de Vries equation is derived using stretched co-ordinates in the reference frame of the wave phase speed, considering the dispersion to be a higher-order effect that balances the non-linearity to produce a solitary structure. The maximum amplitude |Φm| of the non-linear solitary wave turns out to be larger than one that contradicts the small amplitude approximation. In the presence of negative ions, the maximum amplitude satisfies the condition |Φm|<1. To elaborate these points, the results have been applied to an experimental plasma consisting of positive ions of xenon (Xe+) and negative ions of fluorene (F−) along with electrons. The amplitude and width of the solitary structures depend upon the ratio of the electron to positive ion density (ne0ni0). Since the non-linear coefficient turns out to be negative, rarefied (dip) solitons are formed in the magnetized Xe+−F−−e plasma.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reductive perturbation method in magnetized plasma and role of negative ions

Saleem,

Shan,

Poedts

2023

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…The findings from these studies will be subsequently compared and incorporated into the previously published works cited in Refs. [ [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] ].…”

Section: Discussionmentioning

confidence: 99%

Quiescent optical solitons with complex Ginzburg–Landau equation having a dozen forms of self–phase modulation

Arnous¹,

Biswas²,

Yıldırım³

et al. 2023

Heliyon

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“…Nonlinear models can be solved using a variety of effective methods, and soliton outcomes can be obtained. This list includes some techniques, such as the Kudryashov technique [ 19 ], the unified process [ 20 ], the exp a function approach [ 21 ], the modified Sardar sub-equation algorithm [ 22 ], the Hirota bilinear process [ 23 ], and various others [ 24 – 26 ].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation, chaos, and stability analysis to the second fractional WBBM model

Ullah,

Ali,

Roshid

2024

PLoS ONE

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This manuscript investigates bifurcation, chaos, and stability analysis for a significant model in the research of shallow water waves, known as the second 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) model. The dynamical system for the above-mentioned nonlinear structure is obtained by employing the Galilean transformation to fulfill the research objectives. Subsequent analysis includes planar dynamic systems techniques to investigate bifurcations, chaos, and sensitivities within the model. Our findings reveal diverse features, including quasi-periodic, periodic, and chaotic motion within the governing nonlinear problem. Additionally, diverse soliton structures, like bright solitons, dark solitons, kink waves, and anti-kink waves, are thoroughly explored through visual illustrations. Interestingly, our results highlight the importance of chaos analysis in understanding complex system dynamics, prediction, and stability. Our techniques’ efficiency, conciseness, and effectiveness advance our understanding of this model and suggest broader applications for exploring nonlinear systems. In addition to improving our understanding of shallow water nonlinear dynamics, including waveform features, bifurcation analysis, sensitivity, and stability, this study reveals insights into dynamic properties and wave patterns.

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Effect of ion and negative ion temperatures on KdV and mKdV solitons in a multicomponent plasma

Cited by 28 publications

References 44 publications

Reductive perturbation method in magnetized plasma and role of negative ions

Reductive perturbation method in magnetized plasma and role of negative ions

Quiescent optical solitons with complex Ginzburg–Landau equation having a dozen forms of self–phase modulation

Bifurcation, chaos, and stability analysis to the second fractional WBBM model

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