Rose leaf-but cuttings, Burrito modification, with picture
Inspired by Burrito, I could see that you can bury the whole stem. With Burrito, the leaves are taken off, but wouldn't it be better to keep one leaf on? This is formally called a leaf-bud cutting, but I call it the Advanced Burrito Modification, because it builds on the Burrito idea, and makes it better - such as no transplanting step required!
As you can see, 7 weeks later, the cutting has rooted nicely! and the bud is sending up a nice cane!