Interactions of ion acoustic multi-soliton and rogue wave with Bohm quantum potential in degenerate plasma

Abstract

This work investigates the interactions among solitons and their consequences in the production of rogue waves in an unmagnetized plasmas composing non-relativistic as well as relativistic degenerate electrons and positrons, and inertial non-relativistic helium ions. The extended Poincaré-Lighthill-Kuo (PLK) method is employed to derive the two-sided Korteweg-de Vries (KdV) equations with their corresponding phase shifts. The nonlinear Schrödinger equation (NLSE) is obtained from the modified KdV (mKdV) equation, which allows one to study the properties of the rogue waves. It is found that the Fermi temperature and quantum mechanical effects become pronounced due to the quantum diffraction of electrons and positrons in the plasmas. The densities and temperatures of the helium ions, degenerate electrons and positrons, and quantum parameters strongly modify the electrostatic ion acoustic resonances and their corresponding phase shifts due to the interactions among solitons and produce rogue waves in the plasma.

Propagation of collisional among multi-soliton, multi-singular solition and rogue wave around the critical values in an unmagetized plasma

“…It is well known that RWs are comparatively large and unpredictable that are existed in the unstable regions. To describe the characteristics of the head-on collision between two counter-propagating such waves, one requires to convert coupled mKdVEs into the coupled NlSEs by the multiple scale perturbation technique that employed by many researchers [13,14,25]. To do it, the following stretching co-ordinates are considered:…”

“…However, the non-linear Schrodinger equations (NLSEs) are applicable to describe not only the dynamics of modulated wave packet but also the rogue waves (RWs) in the physical systems. A few works [25,26] has been studied the collisional acoustic among multi-soliton described by the coupled KdVEs. But, no research work has been done previously on the nonlinear propagation of acoustic collisional among multi-soliton and multi-singular solition around the critical values by considering any physical system for the non-modulated region to the best our knowledge.…”

Multistability and dynamical properties of ion-acoustic wave for the nonlinear Schrödinger equation in an electron–ion quantum plasma

“…Sultana et al [9] investigated rogue waves in a degenerate relativistic quantum plasma both numerically and theoretically. Interactions amidst solitons and their role in the making of rogue waves in a degenerate plasmas with quantum Bohm potential were reported by Alam et al [10]. Nonlinear dynamics of quantum ion-acoustic waves (QIAWs) were investigated in small amplitude limit under the framework of the KdV equation and in arbitrary amplitude limit by some authors in electron-ion quantum plasma [11,12] and electron-positron-ion quantum plasma [13].…”

“…The Rogue wave phenomenon was widely discussed in numerous quantum plasma systems. It has been studied by many authors [8][9][10] by transforming the evolution equations like KdV, mKdV, and mmKdV equations to subsequent nonlinear Schrodinger equation. Sun et al [8] reported modulational instability and dust ion-acoustic rogue waves in a three-component ultracold quantum plasma.…”

Nonlinear ion-acoustic solitary waves in an electron-positron-ion plasma with relativistic positron beam

“…[1][2][3][4][5] The study of electron-positronion (EPI) plasmas has been growing extensively due to their presence in the early universe, in the active galactic nuclei, in the pulsar magnetosphere, ionosphere, in the solar atmospheres, etc. [6][7][8][9][10][11] It is well known that when positrons are introduced into an electron-ion plasma, the response of the electrostatic waves changes significantly in comparison to the usual two component plasmas. [5,12,13] Therefore, it is worthwhile to study the nonlinear wave propagation in electronpositron-ion plasmas for understanding the dynamical behaviour of astrophysical and laboratory plasmas.…”