  A model to describe Cooper pairs near the transition point (on temperature
and magnetic field), when the distance between them is big compared to their
sizes, is proposed. A superconducting plate whose thickness is less than the
pair size in the transverse magnetic field near the critical value $H_{c2}$ is
considered as an application of the model. A new state that is energetically
more favourable than that of Abrikosov vortex state within an interval near the
transition point was obtained. The system's wave function in this state looks
like that of Laughlin's having been used in fractional quantum Hall effect
(naturally, in our case - for Cooper pairs as Bose-particles) and it
corresponds to homogeneous incompressible liquid. The state energy is
proportional to the first power of value $(1 - H/H_{c2})$, unlike the vortex
state energy having this value squared. The interval of the new state existence
is greater for dirty specimens.
