59 citations · 157 across the 6 of their papers we have counts for
6 papers
The Gardner equation and acoustic solitary waves in plasmas
Frank Verheest, Willy A. Hereman
Ion-acoustic waves in a dusty plasma are investigated where it is assumed that the ions follow a Cairns distribution and the electrons are Boltzmann distributed. Two theoretical me…
Collisions of acoustic solitons and their electric fields in plasmas at critical compositions
Frank Verheest, Willy A. Hereman
Acoustic solitons obtained through a reductive perturbation scheme are normally governed by a Korteweg-de Vries (KdV) equation. In multispecies plasmas at critical compositions the…
Modified Korteweg-de Vries solitons at supercritical densities in two-electron temperature plasmas
Frank Verheest, Carel P. Olivier, Willy A. Hereman
The supercritical composition of a plasma model with cold positive ions in the presence of a two-temperature electron population is investigated, initially by a reductive perturbat…
Comment on "Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons"
Frank Verheest
In a recent paper "Head-on collision of electron acoustic solitary waves in a plasma with nonextensive hot electrons" [Astrophys. Space Sci. 338, 271-278 (2012)] Eslami, Mottaghiza…
Note on the single-shock solutions of the Korteweg-de Vries-Burgers equation
Ioannis Kourakis, Sharmin Sultana, Frank Verheest
The well-known shock solutions of the Korteweg-de Vries-Burgers equation are revisited, together with their limitations in the context of plasma (astro)physical applications. Altho…
Complete integrability of a modified vector derivative nonlinear Schroedinger equation
Ralph Willox, Willy Hereman, Frank Verheest
Oblique propagation of magnetohydrodynamic waves in warm plasmas is described by a modified vector derivative nonlinear Schroedinger equation, if charge separation in Poisson's equ…