In the high power laser system, because of the high power of the laser, it is likely to cause damage to the laser devices, making the laser system paralyzed. When a certain high-intensity laser passes through an optical device, part of the energy is absorbed by the device to form physical processes such as ablation, melting and gasification of the material surface. The vaporized target vapor continuously absorbs the laser energy to form an absorption wave maintained by the laser. According to different mechanisms and characteristics, it can be divided into detonation wave and combustion wave. The research on the generation process, mechanism and characteristics of laser supported absorption wave is helpful to the design optimization of laser devices and increase the understanding of the basic physical process of absorption wave. In this paper, the physical process and characteristics of combustion wave induced by long pulse millisecond laser in two transparent materials quartz are studied. In this paper, the process of combustion wave generation is described from a more complete theoretical point of view. First, the process of laser incident on the target to generate combustion wave is described in a more complete theoretical way. Then, the physical characteristics of combustion wave under different parameters, such as the size distribution of expansion velocity, the size distribution of expansion velocity, the generation of combustion wave induced by laser, are obtained through the establishment and Simulation of the combustion wave model Fluid fraction evolution state, etc.