Single spike solutions for strings on S2 and S3

Understand

We study solutions for rigidly rotating strings on a two sphere.

• Among them we find two limiting cases that have a particular interest, one is the already known giant magnon and the other we call the single spike solution.
• The limiting behavior of this last solution is a string infinitely wrapped around the equator.
• It differs from that solution by the existence of a single spike of height theta that points toward the north pole.