Multiperiodic and chaotic wave phenomena of collective ion dynamics under KP-type equation in a magnetised nonextensive plasma

Saha, Asit; Pradhan, Barsha; Natiq, Hayder

doi:10.1088/1402-4896/ac850e

Cited by 5 publications

(1 citation statement)

References 48 publications

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“…For more details about qualitative analysis utilizing the bifurcation theory, you can see, e.g. [26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Qualitative analysis and new exact solutions for the extended space-fractional stochastic (3 + 1)-dimensional Zakharov-Kuznetsov equation

Elbrolosy

2024

Phys. Scr.

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In this paper, the extended (3 + 1)-dimensional Zakharov-Kuznetsov equation, which describes the propagation of ion-acoustic waves in a magnetic environment, is investigated. Due to the exposure of the propagation to unpredictable factors, the stochastic model is assessed including the Brownian process, in addition to including the recent concept of truncated M-fractional derivative. A fractional stochastic transformation is applied to transform the model into an integer-order ordinary differential equation which in turn is equivalent to a conservative Hamiltonian model. Novel solutions, such as hyperbolic, trigonometric, and Jacobian elliptic functions, are established by employing both of the qualitative analysis of dynamical systems and the first integral of the Hamiltonian model. We explore and graphically display the effects of the fractional derivative order and noise intensity on the solutions structures. In the deterministic instance, i.e., in the absence of noise, solitary and cnoidal solutions among other traveling wave solutions of the Zakharov-Kuznetsov equation, are derived. Further, it is found that the curvature of the wave disturbs and the surface turns substantially flat by increasing the value of noise. While the curve in all cases loses its characteristic shape and degenerates into another deterministic shape by changing the fractional derivative order.

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“…For more details about qualitative analysis utilizing the bifurcation theory, you can see, e.g. [26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%