Compressional Alfvénic rogue and solitary waves in magnetohydrodynamic plasmas

Panwar, Anuraj; Rizvi, H.; Ryu, C. M.

doi:10.1063/1.4817017

Cited by 21 publications

(10 citation statements)

References 39 publications

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“…amount of energy accumulated in a small region makes the oscillations much stronger than the surrounding waves, with the initial process forming rogue waves usually attributed to the modulational instability. In the context of plasma physics, rogue waves have been studied for both electrostatic [44][45][46] and electromagnetic [47][48][49] modes. Shukla and Moslem [47] studied the formation of left-and right-hand circularly polarized Alfvénic rogue waves due to the nonlinear interaction between circularly polarized dispersive Alfvén waves and lowfrequency electrostatic perturbations.…”

Section: Introductionmentioning

confidence: 99%

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Kinetic Alfvén solitary and rogue waves in superthermal plasmas

Bains

Xia

2014

Physics of Plasmas

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We investigate the small but finite amplitude solitary Kinetic Alfvén waves (KAWs) in low β plasmas with superthermal electrons modeled by a kappa-type distribution. A nonlinear Korteweg-de Vries (KdV) equation describing the evolution of KAWs is derived by using the standard reductive perturbation method. Examining the dependence of the nonlinear and dispersion coefficients of the KdV equation on the superthermal parameter κ, plasma β and obliqueness of propagation, we show that these parameters may change substantially the shape and size of solitary KAW pulses.Only sub-Alfvénic, compressive solitons are supported. We then extend the study to examine kinetic Alfvén rogue waves by deriving a nonlinear Schrödinger equation from the KdV equation. Rational solutions that form rogue wave envelopes are obtained. We examine how the behavior of rogue waves depends on the plasma parameters in question, finding that the rogue envelopes are lowered with increasing electron superthermality whereas the opposite is true when the plasma β increases. The findings of this study may find applications to low β plasmas in astrophysical environments where particles are superthermally distributed. * Electronic address: bbl@sdu.edu.cn Recently, Gogoi and Khan [37] studied the arbitrary amplitude kinetic Alfvén solitons using warm adiabatic ions and kappa-distributed electrons in a magnetized plasma. The system was shown to support compressive and double layer solutions, and it was demonstrated that the spectral index κ has significant effects on the shape and size of the solitary KAWs. Recently rogue waves have become of considerable interest in the broad areas of nonlinear fibre optics [39], optical systems [40, 41], atmospheric research [42] and plasmonics [43].Rogue waves are short-lived phenomena appearing suddenly out of normal waves. Excess

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Section: Introductionmentioning

confidence: 99%

“…Panwar et al [48] studied the Alfvén rogue and solitary waves in an MHD plasma. It was shown that compressional solitons exist, and the amplitude of the solitons increases with increasing soliton speed and decreases with the plasma β.…”

Section: Introductionmentioning

confidence: 99%

Kinetic Alfvén solitary and rogue waves in superthermal plasmas

Bains

Xia

2014

Physics of Plasmas

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“…29,30 An important mathematical model for the rogue wave is the rational solution of the nonlinear Schr€ odinger (NLS) equation in the unstable region. The features of rogue waves have been theoretically investigated in many plasma systems [31][32][33][34][35][36][37][38] and confirmed in experiments. 39,40 The aim of this paper is to investigate the propagation of rogue waves in an ion-beam plasma containing negative ions, positive ions, and superthermal electrons with a kappa-type distribution.…”

Section: Introductionmentioning

confidence: 96%

Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachment

Guo

Mei

2014

Physics of Plasmas

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The amplitude modulation of ion-acoustic waves is investigated in an unmagnetized plasma containing positive ions, negative ions, and electrons obeying a kappa-type distribution that is penetrated by a positive ion beam. By considering dissipative mechanisms, including ionization, negative-positive ion recombination, and electron attachment, we introduce a comprehensive model for the plasma with the effects of sources and sinks. Via reductive perturbation theory, the modified nonlinear Schrödinger equation with a dissipative term is derived to govern the dynamics of the modulated waves. The effect of the plasma parameters on the modulation instability criterion for the modified nonlinear Schrödinger equation is numerically investigated in detail. Within the unstable region, first- and second-order dissipative ion-acoustic rogue waves are present. The effect of the plasma parameters on the characteristics of the dissipative rogue waves is also discussed.

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“…Theoretically, rational solutions of nonlinear Schrödinger (NLS) type systems play a major role in the study of rogue waves for deep water. Rogue waves appear also in many other physical fields where the NLS type systems can be used, especially in nonlinear optics [6,7], plasmas [8,9], atmosphere [10,11], Bose -Einstein condensations (BECs) [12] and financial problems [13].…”

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confidence: 99%

A novel type of rogue waves with predictability in nonlinear physics

Jia,

Lou

2017

Preprint

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Rogue waves named by oceanographers are ubiquitous in nature and appear in a variety of different contexts such as water waves, liquid Helium, nonlinear optics, microwave cavities, etc. In this letter, we propose a novel type of exact (2+1)-dimensional rogue waves which may be found in many physical fields described by integrable and nonintegrable models. This type of rogue waves are closely related to invisible lumps. Usually, a lump is an algebraically localized wave in space but visible at any time. Whence a lump induces a soliton, the lump will become invisible before or after a fixed time. If a bounded twin soliton is induced by a lump, the lump will become a rogue wave (or instanton) and can only be visible at an instant time. Because of the existence of the induced visible solitons, the rogue wave may be predictable in some senses. For instance, the height, the position and the arrival time of the rogue wave can be predictable. The idea is illustrated by the celebrate (2+1)-dimensional Kadomtsev-Petviashvili equation in its extended form.

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Compressional Alfvénic rogue and solitary waves in magnetohydrodynamic plasmas

Cited by 21 publications

References 39 publications

Kinetic Alfvén solitary and rogue waves in superthermal plasmas

Kinetic Alfvén solitary and rogue waves in superthermal plasmas

Modulation instability and dissipative rogue waves in ion-beam plasma: Roles of ionization, recombination, and electron attachment

A novel type of rogue waves with predictability in nonlinear physics

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