Electron acoustic solitary wave with finite cold electron temperature

Abstract This study investigates the nonlinear propagation of Electron Acoustic Waves (EAWs) in a homogeneous, collisionless, dispersive plasma medium comprising two thermodynamically distinct electron species and a static charge-neutral ion background. Utilizing the properties of the Sagdeev pseudopotential, we established the necessary conditions for the existence of solitary waves in the presence of a finite cold electron temperature with the appropriate boundary conditions. Next, we derived the conditions for a soliton solution when the cold electron temperature is absent, employing the same pseudopotential method. It was demonstrated that incorporating finite cold electron temperature significantly alters the conditions required to achieve a soliton solution. We derived a small amplitude soliton solution by expanding the Sagdeev potential up to the fourth order, and we discuss the implications of this solution.