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