Dust Ion Acoustic Solitary Waves in Unmagnetized Plasma with Kaniadakis Distributed Electrons
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GENERAL AND APPLIED PHYSICS
Dust Ion Acoustic Solitary Waves in Unmagnetized Plasma with Kaniadakis Distributed Electrons Muhammad Khalid1,2 · Aqil Khan1 · Mohsin Khan2 · F. Hadi3 · Ata-ur-Rahman2 Received: 3 June 2020 / Accepted: 7 October 2020 © Sociedade Brasileira de F´ısica 2020
Abstract The propagation of dust ion acoustic solitary waves (DIASWs) is investigated in dusty plasma with non-Maxwellian electrons. The Korteweg-de Vries (KdV) equation and modified Korteweg-de Vries (mKdV) equation are derived with the help of reductive perturbation method and their solitary wave solutions are analyzed. The effects of relevant parameters (viz., κ-deformed parameter and dust concentration μ) on the dynamics of solitary structures are discussed in detail. Keywords Dust ion acoustic solitary waves · KdV equation · mKdV equation · Kaniadakis distribution
1 Introduction In the absence of collisions, ions can still transmit vibrations to each other owing to their charge. Since the motion of massive ions is involved, these vibrations are of low frequency and are called ion acoustic (IA) waves [1]. A solitary wave is a localized wave which emerges from the balance between the nonlinear and dispersive effects. A solitary wave is called soliton if it further possesses two properties, that is, it moves with constant speed and maintains its shape. Secondly when a soliton interacts with another one, it emerges from the collision unchanged except for a phase shift (nonlinear superposition) [2]. The discovery of soliton in connection with numerical integration of Korteweg-de Vries (KdV) equation was made by Zabusky and Kruskal [3] . In a mathematical sense, solitons are basically special solutions of some integrable nonlinear partial differential equations which possess all the above mentioned properties, i.e., they are localized and stable, and survive collision, while solitary waves are solutions of near integrable par Muhammad Khalid
mkhalid [email protected] 1
Department of Physics, Government Post Graduate College Mardan, 23200, Mardan, Pakistan
2
Department of Physics, Islamia College Peshawar (Public Sector University), 25120, Peshawar, Pakistan
3
Department of Applied Physical and Material Sciences, University of Swat, Swat 19200, Pakistan
tial differential equations, which are also localized, but do not possess particle-like property such as elastic collision property. Usually the terms solitary wave and soliton are used interchangeably in physics. Ion acoustic solitary waves (IASWs) are a important class of nonlinear phenomena in different plasma systems. The properties of such waves in different plasma systems are the targeted areas of many researchers. The nonlinear properties of ion acoustic waves (IAWs) in quantum plasma are studied by Misra and Bhowmik [4]. Pakzad et al. [5] studied the characteristics of IASWs in three-component plasma containing nonthermal electrons, cold electrons, and positrons. The IA solitons and supersolitons in magnetized plasma with two groups of electrons, i.e., nonthermal hot and B
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