  We present a review of the latest developments in 1D OWT. Based on an
original experimental setup that allows for the implementation of 1D OWT, we
are able to show that an inverse cascade occurs through the spontaneous
evolution of the nonlinear field up to the point when modulational instability
leads to soliton formation. After solitons are formed, further interaction of
the solitons among themselves and with incoherent waves leads to a final
condensate state dominated by a single strong soliton. Motivated by the
observations, we develop a theoretical description, showing that the inverse
cascade develops through six-wave interaction, and that this is the basic
mechanism of nonlinear wave coupling for 1D OWT. We describe theory, numerics
and experimental observations while trying to incorporate all the different
aspects into a consistent context.
