Zakharov-Kuznetsov equation in a magnetized plasma with two temperature superthermal electrons

Saini, N. S.; Chahal, B. S.; Bains, A. S.; Bedi, Chanchal

doi:10.1063/1.4865590

Cited by 38 publications

(18 citation statements)

References 56 publications

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“…Indeed, both compressive and rarefactive solitons can be supported by the model for some plasma parameters, which is in good agreement with earlier works of Saini et al (2014), Baluku et al (2010). (ii) Superthermality of hot and cold electrons (κ h and κ c ) have significant and opposite effects on the solitons profiles.…”

Section: Discussionsupporting

confidence: 89%

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Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Annou

2015

Astrophys Space Sci

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Soliton formation in plasma is addressed. Nonlinear acoustic waves in plasma where the combined effects of bounded spherical geometry and the transverse perturbation are dealt with, in two-temperature electron plasma are studied. Using the perturbation method, a spherical KadomtsevPetviashvili equation (SKP) that describes the ion acoustic waves is derived. The plasma is modeled by a kappa distribution function for both electrons components as found in Saturn's magnetosphere. It is found that parameters taken into account have significant effects on the properties of nonlinear waves. The model is applied to Saturn's magnetosphere, where two temperature superthermal electrons are present. Hence, ion acoustic waves are deduced for three regions, namely, the inner, the intermediate and the outer Saturn's magnetosphere. We point out, that this work has been motivated by recent observations of Saturn's magnetosphere.

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Section: Discussionsupporting

confidence: 89%

“…Afterward, these investigations have attracted the attention of many researchers to study the nonlinear wave structures in plasmas with superthermal tails (Moslem and ElTaibany 2005;Choi et al 2011;Saini et al 2014, and references therein) and even to investigate the characteristics of solitary structures in different plasma systems.…”

Section: Introductionmentioning

confidence: 99%

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Annou

2015

Astrophys Space Sci

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“…Solving algebraic equations derived by equation the coefficients of the powers of P (ω) in the previous equation for a 0 , a 1 , a 2 , a 3 , b 0 , b 1 and ν gives a 0 = 0 where ap = 0 for arbitrarily chosen a, b, c, K and b 1 . Thus, the solutions to (21) are expressed as The algebraic system (23) has some more solutions written as…”

Section: The Solutions Of the Conformable Time Fractional Jm Equationmentioning

confidence: 99%

Traveling waves in rational expressions of exponential functions to the conformable time fractional Jimbo–Miwa and Zakharov–Kuznetsov equations

Korkmaz

Hepson

2018

Opt Quant Electron

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The conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations are solved by the generalized form of the Kudryashov method. A simple compatible wave transformation is employed to reduce the dimension of the equations to one. The predicted solution is of the form of a rational expression of two finite series at both the numerator and the denominator. The terms of both series are of the powers of some functions having exponential expressions satisfying a particular ODE. The exact solutions are expressed explicitly in terms of powers of some exponential functions in form of rational expressions.

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“…Since the last three decades, the sphere of multidimensional nonlinear structures is being explored and as of now, a variety of nonlinear excitations such as line solitons (decaying exponentially except along certain lines), lump solitons (algebraically decaying), double layers, vortices, shocks, and dromions (exponentially decaying in all directions) have been reported in various plasma environments [ Ghosh et al , ; El‐Taibany , ; Lakhina et al , ; Sultana et al , ; Tribeche and Shukla , ; Tribeche and Merriche , ; Baluku et al , ; Mamun and Islam , ; Saini et al , ]. The various satellite observations have confirmed the existence of nonlinear structures in space environments.…”

Section: Introductionmentioning

confidence: 99%

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

2016

Self Cite

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An investigation of dust acoustic (DA) dromions in a magnetized dusty plasma consisting of inertial dust fluid, kappa‐type distributed electrons, and ions is presented. Using reductive perturbation technique, we have derived coupled nonlinear evolution equations of (2 + 1) dimensions (called Davey‐Stewartson (DS‐I) equations). Hirota bilinear method has been employed to derive the analytical solution of DS‐I equations. The solutions of such equations are exponentially localized and are called dromions. The combined effects of various physical parameters such as superthermality of charged particles, strength of magnetic field, and dust concentration have been studied on the existence regions and propagation properties of DA dromions in context with observations of POLAR satellite in the presence of superthermal particles in polar cap boundary layer region of Earth's atmosphere.

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Zakharov-Kuznetsov equation in a magnetized plasma with two temperature superthermal electrons

Cited by 38 publications

References 56 publications

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Ion-acoustic solitons in plasma: an application to Saturn’s magnetosphere

Traveling waves in rational expressions of exponential functions to the conformable time fractional Jimbo–Miwa and Zakharov–Kuznetsov equations

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

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