Dissipative electron-acoustic solitons in a cold electron beam plasma with superthermal trapped electrons

Solitons in a cold electron beam plasma

“…( 6) and ( 8) are referred to as the narrowed and extended equations respectively. In this paper, an extension of this technique is applied: the soliton solution of the narrowed equation is squared and differentiated -what yields the Schamel equation discussed in [1]. Then the condition analogous to Eq.…”

“…Following the assumptions in [1] we set 𝑧 = 𝑧 = 0. Without loss of generality let us assume that 𝑧 = −𝛽, 𝛽 > 0.…”

“…Eq. (1) shows stronger nonlinearity (due to the Φ term) as compared to the paradigmatic KdV equation. Eq.…”

“…Dissipative electron-acoustic solitary waves (EASWs) in a cold electron beam plasma with superthermal trapped electrons are investigated in [1]. It is shown in [1] that EASWs can be described by the Shamel equation [2]:…”

“…In [1] by assuming the absence of the collision term 𝜈 0 . It is shown in [1] that using the boundary conditions Φ → 0 and Φ 𝜉 → 0 at 𝜉 → ∞, Eq. ( 2) produces EASWs through the following solution:…”