Parallel propagation of nonlinear electrostatic waves in multispecies plasm
as is described via a Sagdeev-type pseudo-potential or by Korteweg-de Vries
and modified Korteweg-de Vries equations for weak nonlinearities, almost r
egardless of the assumptions about plasma compositions or pressure closures
. We explore the reasons for that in some detail and show why this should b
e the case.