The dynamic characteristics of unreacted solid explosive PBX-59 under ramp wave compression were studied with a magnetic driven loading experimental technique， and the dynamic response of PBX-59 under a peak pressure up to 18.5 GPa was obtained. The p-V relationship， the acoustic velocity-particle velocity relationship and other dynamic parameters of PBX-59 were obtained by the iterative Lagrange data processing method modified by impedance matching under the ramp wave compression. Combined with the dyamic parameters and isentropic equation of state derived from experimental data， the experimental results were hydrodynamically simulated. The numerical calculation agree well with the experimental results， which verifies the validity of the experimental technology， data processing method， and physical model.