Apart from the familiar bright and dark type spatial solitons
of a homogenous medium, it is also possible to reveal a new class of self
guided beams. To do this, we invert the fundamental mode of the `W'
shaped refractive
index profile [38] whose unique property is that the
fundamental
mode is cutoff at a non zero frequency. The field of this mode at cutoff
is of interest because it is a bright like (monotonic decreasing) wave,
but with unbounded flat tails. Upon inversion, this
`dark-like' bright wave can be shown to be a self-guided beam
of a medium characterized by a kink in the otherwise monotonic
increasing n vs 
dependence [39].