  The structure of whistler precursor in a quasi-perpendicular shock is studied
within two-fluid approach in one-dimensional case. The complete set of
equations is reduced to the KdV equation, if no dissipation is included. With a
phenomenological resistive dissipation the structure is described with the
KdV-Burgers equation. The shock profile is intrinsically time dependent. For
sufficiently strong dissipation, temporal evolution of a steepening profile
results in generation of a stationary decaying whistler ahead of the shock
front. With the decrease of the dissipation parameter whistler wavetrains begin
to detach and propagate toward upstream and the ramp is weakly time dependent.
In the weakly dissipative regime the shock front experiences reformation.
