Small amplitude electron acoustic solitary waves in a magnetized superthermal plasma

Devanandhan, S.; Singh, S. V.; Lakhina, G. S.; Bharuthram, R.

doi:10.1016/j.cnsns.2014.07.026

Cited by 40 publications

(11 citation statements)

References 34 publications

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“…With repeated use of Lie symmetry reduction, the (3 + 1)-mKdV-ZK reduces to an ODE, which is much easier to solve. The brief description and applications of the method can be studied from some text books [22,23] and references therein [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Assuming one-parameter Lie group of the following transformations…”

Section: Lie Symmetriesmentioning

confidence: 99%

Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma

Kumar

Verma

2022

Nonlinear Dyn

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Section: Lie Symmetriesmentioning

confidence: 99%

Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma

Kumar

Verma

2022

Nonlinear Dyn

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“…EASs have been studied by numerous researchers in magnetoplasmas by deriving ZKE. 50,51 When it comes to the transfer of energy and momentum, solitons become significant because of the property of holding its identity after interaction. The wave propagation in naturally occurring physical systems calls for the consideration of multi-soliton solutions (MSSs).…”

Section: Introductionmentioning

confidence: 99%

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

Khattak

Masood

Jahangir

et al. 2023

Journal of Low Frequency Noise, Vibration and Active Control

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The progression of nonlinear electron-acoustic waves (EAWs) in a magnetized and collision-free plasma made up of cold inertial electrons, inertialess superthermal electrons, and stationary background ions with special reference to Saturn’s magnetosphere (SMS) is explored. The method of reductive perturbation (MRP) is employed to obtain the evolution equation (i.e., Zakharov– Kuznetsov equation (ZKE)) that governs the propagation of electron acoustic solitons (EASs). Using the elegant and efficient Hirota bilinear method (HBM), multi-soliton solutions (MSSs) of the ZKE are determined. The impact of the effects of hot-to-cold electron density ratio, magnetic field (MF) strength, and superthermality on single as well as the interaction of EASs is examined. Estimates of the values of the electric field at several radii of SMS (i.e., 12 R s − 17.8 R s, where R s is the radius of Saturn) are presented, which are found in μV/ m to mV/ m range and are in perfect agreement with the data from Cassini radio and plasma wave science wideband receiver. Moreover, the influence of the relevant plasma parameters on the interaction time and spatial extent of the interacting EASs is also explored.

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“…Additionally, Lie symmetries have developed a few conservation laws for the forced KdV equation, and a novel concept known as weak self-adjointness is presented [44]. The nonlinear wave excitement caused by the axial rotation of a charged space debris particle in the plasma atmosphere of the low-Earth-orbit area is also described by the forced KdV equation [45] and nonlinear wave excitations [36].…”

Section: Introductionmentioning

confidence: 99%

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

Raut,

Kairi,

Chatterjee

et al. 2023

Preprint

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This paper claims the integrability of the non-autonomous generalized perturbed KdV (NgPKdV) equation through Painlevé analysis. Additionally, bilinear Bäcklund transformations, Lax pairs, and infinite conservation laws are developed to demonstrate the integrability of the said equation. Employing Hirota's approach, multi-solitons of the NgPKdV equation are constructed, from which the breather and hybrid solutions are explored with the proper choice of polynomial functions in the solution space. The changes in the behavior of non-autonomous solitons under different physical conditions are studied with special care. The propagating properties of single and double non-autonomous breathers along with their interactive properties with solitons are observed from the numerical viewpoint. An extensive study is also conducted on the propagation of solitary interactions and complex hybrid solutions. PACS 52.30-q · 94.30.cq · 52.35.Fp

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Small amplitude electron acoustic solitary waves in a magnetized superthermal plasma

Cited by 40 publications

References 34 publications

Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma

Dynamics of invariant solutions of mKdV-ZK arising in a homogeneous magnetised plasma

Overtaking interaction of electron-acoustic solitons in Saturn’s magnetosphere

The non-autonomous generalized perturbed KdV equation: its integrability, infinite conservation laws, multi soliton, high-order breather and hybrid solutions with mixed backgrounds

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