NOVELTY - Wave compounded internal combustion engine comprises output shaft, body and wave mechanism differing from existing combustion engines to get and transform heat energy into output shaft's mechanic energy to use synchronic working together or separately autonomously set combustion camera(s) of regular sized and combustion mini-camera installed below movable ejector pistons of one- or two-wave step pneumatic actuator (WSA) with immovable external deformation in circumferential direction flexible wheel(s) with internal teeth in cycloid or round shape of wave contacting with external rim tip.    USE - Used as wave combined internal combustion engine.    ADVANTAGE - The separately arranged combustion camera(s) allow significant reduction of fuel consumption and increase in engine's efficiency and significant reduction of its weight and axis dimensions.    DETAILED DESCRIPTION - Wave compounded internal combustion engine comprises output shaft, body and wave mechanism differing from existing combustion engines in necessity for getting and transforming heat energy into output shaft's mechanic energy to use synchronic working together or separately autonomously set combustion camera(s) of regular sized and combustion mini-camera installed below movable ejector pistons of one-wave or two-wave step pneumatic actuator (WSA) with immovable external deformation in circumferential direction flexible wheel(s) with internal teeth in cycloid or round shape of wave contacting with external rim tip, which is movable along circumferential direction of two-wave rigid wheel (where external and internal tips are arranged one below other, which gradually reduces axis dimensions of the combustion engine), through which internal rim tip becomes geared with intermediate tooth wheels of multiplier, turning about their immovable axis and leading external central wheel (crown) of multiplier. The engine's output shaft is driven by internal wheel of multiplier with gas turbine with its drive from utilized exhaust products, which are optionally arranged on it. At the immovable axis, circumferentially the direction flexible wheel(s) is fixed on immovable disc of pneumodeformer (sic) or on body and made: in form of only flexible rim tip(s) with internal teeth and radial slots for pushers, which are movable along radial direction from the external side; in form of deformed through radial spherical pushers from the butt end of flexible circular plate with rim tip at external edge (butt wave gear); of two raw installed flat flexible wheels simultaneously from two butts coming into wave gearing with the same rigid wheel, which is made in form of rigid round plate with two rim tips places symmetrically toward middle cavity of rigid plate on its different butts at external edge; or of several such blocks (each is composed of two flat flexible wheels working with the same rigid wheel), radio installed on common output shaft of engine with the aim to increase power in the same radial dimensions. The immovable block of pneumodeformer contains many radial channels (at least 8-36) regularly arranged in radial direction in mini-camera on its external side to supply compressed air (gas) into internal cavities of the mini-cameras and to discharge exhausted products from them into low pressure channel and adjacent radial channels for controlling pressure impulses using soft pin and toroidal shells of all processes if burning process is conducted in mini-cameras. It is necessary to control processes of fuel and compressed air supply, formation of working mixture, its burning and impulse supply of water doses at the moment of burning process completion for cooling internal cavities of mini-cameras. If fuel burning process takes place in separately arranged optimal combustion camera(s) with normal regular dimensions, pressure impulses are controlled and both processes in the camera(s) and processes in mini-cameras, including process of hot gas supply. Behind radial channels toward mini-cameras from their external side in immovable block of pneumodeformer there is radial aisle with rectangular cross-section in which with minimal radial clearances there is spin movable part of pneumodeformer with box cross-section, behind movable part high pressure toroidal vessel is in-built into immovable block of pneumodeformer, which have regular radial channels with conventional axial valves arranged opposite to radial channels of mini-cameras and channels of their control. Movable part is arranged in such a way that its cavity is mainly low pressure cavity of exhausted products from mini-cameras, which come through regular circumferential direction holes (as given in the specification) in cylindrical wall of box section adjacent with radial channels of mini-cameras, and through-holes in wall of butt area, which is parallel to axis of radial channels. The cavity constantly communicates with common low pressure output channel while along radii in movable part of pneumodeformer, there are regular radial end-to-end channels connecting internal and external cylindrical walls of turning movable part of pneumodeformer through which signals coming from high pressure toroidal vessel sequential commutate with income signals of mini-cameras and adjacent administration channels ensuring supply of corresponding high pressure air impulses (if the process of hot air burning is conducted in mini-cameras) or hot gas (if the burning process of working mixture burning is conducted in separately arranged optimal combustion camera(s) of normal conventional dimensions, which work in this case as compressor(s) for creation in toroidal vessels of necessary pressure) at the same pressure as the combustion engine because of external deformation of flexible wheel(s) and possibility to choose correct combination of sequential or parallel work mode of mini-cameras. A regulator allows change in wide range angle speed and reverse of output shaft, which is realized by simple change of angle speed and rotation direction of movable part of pneumodeformer from low power control electric motor and allows significant increase in working resource of flexible wheels for one-wave WSA.