Low and high frequency instabilities in an explosion-generatedplasma and possibility of wave triplet

An explosion-generated-plasma is explored for low and high frequency instabilities by taking into account the drift of all the plasma species together with the dust particles which are charged. the possibility of wave triplet is also discussed based on the solution of dispersion equation and synchronism conditions. high frequency instability (hfi) and low frequency instability (lfi) are found to occur in this system. lfi grows faster with the higher concentration of dust particles, whereas its growth rate goes down if the mass of the dust is higher. the ion and electron temperatures affect its growth in opposite manner and the electron temperature causes this instability to grow. in addition to the instabilities, a simple wave is also observed to propagate, whose velocity is larger for larger wave number, smaller mass of the dust and higher ion temperature.