Parametric amplification of Alfven waves

The present analysis has been made to investigate the effects of finite resistivity on the amplification of low frequency plasma waves, e.g. an Alfven wave due to a time dependent modulating magnetic field. It is found that the bandwidth of frequencies for which amplification occurs increases due to finite resistivity. The degree of modulation should exceed a critical value for amplification to occur. The growth rate decreases due to damping. The problem has been solved analytically.