  Electron holes (EH) are localized modes in plasma kinetic theory which appear
as vortices in phase space. Earlier research on EH is based on the Schamel
distribution function (df). A novel distribution function is proposed here,
generalizing the original Schamel df in a recursive manner. Nonlinear solutions
obtained by kinetic simulations are presented, with velocities twice the
electron thermal speed. Using 1D-1V kinetic simulations, their propagation
characteristics are traced and their stability is established by studying their
long-time evolution and their behavior through mutual collisions.
