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The hydro-magnetic instability of Rivlin-Ericksen compressible fluid in porous medium  is considered by applying normal mode technique, the dispersion result is obtained. The important result obtained in this present paper, by a number of theorems providing conditions for    stability   or instability, and the case of  slightly compressible fluid neutral or unstable modes are non-oscillatory and oscillatory mode is also stable. It is also found that the system are stable, unstable or neutral analysis for subsonic and supersonic disturbances with weak applying magnetic field (i.e.S˂˂ 1)  and another bounds on the complex wave velocity of unstable modes for

STABILITY OF VISCO-ELASTIC( RIVLIN-ERICKSEN) COMPRESSIBLE FLUID IN POROUS MEDIUM : EFFECT OF MAGNETIC FIELD