A proper Muay Thai explosive push ups routine helps to develop your chest, shoulders and triceps muscles. On top of that, support required from other muscles during this exercise results in a wider range of muscle work integrated into this workout. As an explosive movement, it is especially good for training fast-twitch muscle fibers, which have the greatest potential for size and strength gains. It is also great as a body conditioning exercise and very useful to increase the punching power.
Some of them are focused on building chest muscles while other types are better suited for building arms and shoulders:
Push ups are a cornerstone of any physical training. The best thing about them is that you don't need any fancy equipment to perform them. It is one of the simplest exercises yet it can be challenging (10 more reps, one-hand push-up...). And it offers great physical gains over time.