I can't see how fuel from a rocket melts snow to form water then instantly turn into ice for the hikers to conveniently walk on ?
Please do not jump to rockets and fuels! Those are not in focus of this topic. Here I suggest to talk about Dyatlov group's footprints left on the slope in 1959 and discovered by the Search party. There are two questions to be answered:
1) How were the footprints formed?
2) How had the footprints been remaining intact for about two months?
Answer for the 2nd question seems to be suggested by Karelin's observation -- the footprints became icy at certain time, and ice cannot be damaged by winds like snow can. If icy footprints had been covered by fresh show after new snowfalls, on windy slope fresh show would have been blown away, thus uncovering the footprints again.
Trying to answer the 1st question, I can suggest the following theory--
On the slope, snow crust is formed over time due to permanenty blowing wind polishing the slope. The crust is actually old, very dense snow. If a person walks on the crust, he does not leave footprints, as if he is walking on asphalt. But if fresh, powdery snow has fallen on top of the crust, a person's foot compacts it down, pressing it between his sole and the crust. When a person has passed, a chain of indented footprints remains behind him. As we assume that wind constantly blows, the wind begins to blow the freshly fallen snow downhill. Sooner or later, the overall snow level will level out with the upper edge of the footprints, and footprints will cease to be indentations at that moment. Now the wind will continue to blow away both powdery snow outside the footprints and pressed snow inside them, but the speed of blowing will be different. Pressed snow takes much longer to be blown away. If powdery snow outside the footprints can be blown away in minutes, pressed snow in the footprints will be blown away in a few hours. For these hours we will observe raised footprints, then they will disappear -- will be leveled out with the crust. In other words, pyramids of pressed snow will exist for the allotted hours and then they will be blown away. But in our case, something happened that prevented the pyramids from being blown away. According to Karelin, the footprints became icy, which he proved trying to destroy a footprint by kicking it with his boot.
For me ice means frozen water. If we accept the above theory, then Dyatlov group's snowy footprints had to be soaked by water at certain time. Then the water froze preserving the footprints' shapes. Or do we have other options?