Collisional positron acoustic soliton and double layer in an unmagnetized plasma having multi-species

Abstract

This paper explores the head-on collision between two-counter propagating positron acoustic solitons and double layers (DLs) in an unmagnetized collisionless plasma having mobile cold positrons fluid, immobile positive ions and ($$r,\;q$$ r , q )-distributed hot positrons, and hot electrons. By employing the extended Poincaré–Lighthill–Kuo method, the coupled Korteweg–de Vries (KdV), modified KdV (mKdV) and Gardner equations are derived to archive this goal. The effect of dimensionless parameters on the propagation characteristics of interacting KdV solitons (KdVSs), mKdV solitons (mKdVSs), Gardner solitons (GSs) and DLs are examined in detail by considering the limiting cases of ($$r,\;q$$ r , q )-distribution. It is noted that the interaction of GSs and DLs are reported for the first time. The outcomes might be comprehended and beneficial not only in space and astrophysical environments but also in laboratory studies.

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

“…In this way, one can examine the impact of other parameters (ignored for simplicity) not only in plasma single NLSE from mKdVE. However, Akter and Hafez [15] have reported the head-on collision between PA two single soliton and double layer by deriving the coupled KdVEs, mKdVEs and Gardner equations in an unmagnetized plasma having IMPIs, non-Maxwellian (r, q)-velocity distributed HPs as well as electrons and MCPs. They have not studied the collisonal among multi-solions and multi-singular solitons around the critical values.…”

“…Such an energetic particle mostly develops as a result of external forces operating on the interactions between waves and particles or on the properties of natural space. Consequently, numerous researchers [9][10][11][12][13][14][15] have observed the propagation of PAWs with multiple species. Shah and Rakha [9] analyzed the wave processes in astrophysical naturally doped superthermal plasmas that are stimulated by positron showers.…”

“…That is why, the researcher still now try to do further research works related to this topic. Numerous research works [13][14][15][21][22][23][24] have already focused on the collisional single soliton by deriving either coupled KdVEs or coupled mKdVEs. Note that the mKdVEs are very useful to describe the resonance wave phenomena and their time delay around the critical values of any particular parameter.…”

“…Also, the head-on collision between two-counter propagating rogue waves (RWs) has not been reported previously for the modulated region. Thus, a plasma environment (consisting of MCPs, IMPIs and (r,q)-distributed HPs, and electrons) is considered [15] to report the nonlinear propagation of PA collisional among multi-soliton, and multi-singular solition around the critical values by considering the coupled mKdVEs and collisional RWs or unstable solitons dy deriving NLSEs. The concept of Hirota's bilinear method [27] is implemented to determined the collisional among multi-soliton and multi-singular solition solution of these equation.…”

Constructing and Predicting Solutions for Different Families of Partial Differential Equations: A Reliable Algorithm

“…Many real-world systems are translated into mathematical models as diferential equations [1,2]. For more accurate analysis and predictions, it is recommended to use partial diferential equations instead of ordinary diferential equations for modeling various physical phenomena.…”