Solitary, explosive and rational solutions for nonlinear electron-acoustic waves with non-thermal electrons

TL;DR

This paper investigates various nonlinear electron-acoustic wave solutions in unmagnetized plasma with non-thermal electrons, deriving exact and approximate solutions and analyzing their properties and potential plasma applications.

Contribution

It introduces a novel algebraic method for obtaining exact solutions of the KdV equation, surpassing existing methods, and explores diverse wave structures in plasma environments.

Findings

Existence of solitary, rational, and blowup solutions in plasma waves.

Application of a new algebraic method for solving the KdV equation.

Relevance of solutions to terrestrial magnetosphere plasma conditions.

Abstract

A rigorous theoretical investigation has been made on electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot electrons and stationary ions. Based on the pseudo-potential approach, large amplitude potential structures and the existence of solitary waves are discussed. The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small but finite amplitude electrostatic waves. An algebraic method with computerized symbolic computation, which greatly exceeds the applicability of the existing tanh, extended tanh methods in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters close to those values corresponding to the dayside auroral zone reveals different solutions i.e., bell-shaped solitary pulses, rational pulses and solutions with singularity at a finite points which called blowup solutions in addition to the propagation of an explosive pulses. The result of the present investigation may be applicable to some plasma environments, such as terrestrial magnetosphere.