A current driven plasma is analyzed in the two-fluid approach. A Lagra
ngian treatment of the charge neutral system results in a nonlinear sc
alar wave equation, which exhibits two different singular wave solutio
ns. One wave collapse is associated with a density. excavation, the ot
her with a density compression. The latter represents the scenario of
wave breaking and survives under charge separation. A new soliton solu
tion is found just above threshold of linear instability of the charge
nonneutral system in case of hot electrons. It is reminiscent of an i
on acoustic KdV-soliton but differs from it in several respects such a
s in the propagation speed, in the strength and polarity of the electr
ostatic potential and in the spatial width, It is a finite ion tempera
ture effect and disappears in the cold ion limit T-i --> 0.