Propagation and Soliton Collision of Positron Acoustic Waves in Four-component Space Plasmas

Lavanya, C.

doi:10.1007/s13538-021-01036-w

Cited by 5 publications

(1 citation statement)

References 47 publications

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“…Their significance is because they "create" the most essential "primary functions": cosine, sin, hyperbolic, exponential, and logarithmic functions (the e-numbers) [15]. These functions [16] are critical to the study of physics and mathematics. For example, in cosmology and geometry, classical hyperbolic functions play a significant role [17].…”

Section: Introductionmentioning

confidence: 99%

Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

Youssif,

Helal,

Juma

et al. 2023

Symmetry

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In this article, we discuss the findings of new developments in a class of new triangular functions that blend the quantity functions of the traditional triangular. Considering the significant role played by the triangular functions in applied mathematics, physics, and engineering, it is conceivable to predict that the theory of new triangular functions will provide us with additional interpretations and discoveries in mathematics and physics. The solutions which consider variable separation based on arbitrary functions are constructed to the (3+1)-dimensional Burgers model by presenting the Fibonacci Riccati technique and the linearly independent variable separation approach. This technique’s fundamental concept is to describe the solution of the Burgers model as a polynomial in the Riccati Equation solution that satisfies the symmetrical hyperbolic and triangular Fibonacci functions. Depending on the choice of suitable functions for variable separation, an abundance of new localized solutions were obtained. Moreover, examples such as embedded solitons, rectangle-solitons, plateau-type ring solitons, taper-like solitons, and their interactions with each other, following the symmetrical hyperbolic and triangular Fibonacci functions, as well as the golden mean, could be explored.

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Section: Introductionmentioning

confidence: 99%

Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

Youssif,

Helal,

Juma

et al. 2023

Symmetry

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Instability analysis and face‐to‐face collision of dust acoustic waves in dusty plasmas: Perspective Jupiter environment

Imon,

Alam

2024

Contrib. Plasma Phys

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The collisionless unmagnetized five components dusty plasmas have been considered to study the significance of the face‐to‐face collision of single‐ and multi‐solitons, phase shifts due to face‐to‐face collision, and instability of the dust acoustic waves in Jupiter's environment. To study the consequence of face‐to‐face collision extended Poincaré–Lighthill–Kuo method is used to derive the two‐sided nonlinear Korteweg–De Vries (KdV) equation. Besides, to investigate the dust acoustic wave's instability, the nonlinear Schrödinger equation has been derived following the procedure of Slathia et al. The multi‐soliton solutions are determined by employing the Hirota bilinear method. The concerned parameters in the issue play a crucial role in the phase shift (generated by the face‐to‐face collision); the collisional process of single‐, double‐, triple‐, and quadruple‐soliton; and the generation of dust acoustic solitons. Furthermore, the plasma parameters are crucial in the formation of dark solitons and envelop shocks.

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Interaction of two soliton waves in plasma including electrons with Kappa-Cairns distribution function

Mirzaei

Motevalli

2023

Chinese Journal of Physics

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Propagation and Soliton Collision of Positron Acoustic Waves in Four-component Space Plasmas

Cited by 5 publications

References 47 publications

Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

Embed-Solitons in the Context of Functions of Symmetric Hyperbolic Fibonacci

Instability analysis and face‐to‐face collision of dust acoustic waves in dusty plasmas: Perspective Jupiter environment

Interaction of two soliton waves in plasma including electrons with Kappa-Cairns distribution function

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