  The paper continues to study the long-standing problem of quasi 1-D (one
dimensional) spectrum of sea surface wave turbulence. The study is based on
Hasselmann's kinetic equation, which significantly simplifies for the quasi 1-D
turbulence. The goal of the paper is to compare the theoretical predictions
with experimental observations. The paper starts with new derivation of the
quasi 1-D approximation of Hasselmann's equation. The present work does not
support the imposition of boundary conditions. Instead, the family of
theoretical spectra is compared with P-M (Pierson-Moskowitz) and JONSWAP (Joint
North Sea Wave Project) spectra. First, a simple solution (first approximation)
of the quasi 1-D equation is obtained and compared with the P-M spectrum. Then
self-similar solutions are considered; they are shown to satisfy the second
order ordinary differential equation. The solutions of this equation have many
features of the JONSWAP spectra.
