The characters of ion acoustic rogue waves in nonextensive plasma

Abstract

Several well-known nonlinear waves in the rational solutions of the nonlinear Schrödinger equation are studied in two-component plasmas consisting of ions fluid and nonextensive electrons, such as Kuznetsov–Ma breather (K-M), bright soliton, rogue wave (RW), Akhmediev breather (AB) and dark soliton, and so on. In this paper, we have investigated the characteristics of K-M, AB, and RW's propagation in plasma with nonextensive electron distribution, and the dependence of amplitude and width for ion acoustic rogue waves in this system. It is found that K-M' triplet is appearance-disappearance-appearance-disappearance. AB solitons only appear once and RW is a single wave that appears from nowhere and then disappears. It is also noted that the wave number and nonextensive parameter of electrons have a significant influence on the maximum envelope amplitude, but, the influence of the width was not significant. At the same time, the effects of the small parameter, which represent the nonlinear strength, on the amplitude and width of ion acoustic rogue waves are also being highlighted.

Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

“…[48][49][50][51] It has indicated that the long-range interactions systems, gravitational systems, also in a lot of space plasmas, in addition laboratory plasmas, the edge of tokamak plasma (in which for the current drive, lower hybrid waves have been used), the Maxwellian velocity distribution (based on Boltzmann-Gibbs statistics) is not adequate for the explanation of the system. [52][53][54][55][56][57][58] Recently, the nonextensive statics or Tsallis statistics has been successfully applied to study the electrostatic solitary waves. [5,[59][60][61][62][63] The q-nonextensive distribution for hot plasma species, which presented nonthermality of plama, have the below distribution function.…”