Magnetic skyrmions belong to a special class of “self-supporting” particle-like objects known as “solitons”. The discovery of solitons as intrinsically stable, localized states in the middle of the last century is known as the “soliton revolution” which introduced a new physical paradigm: a ‘solid’ particle-like object can be induced in continuous media and easily controlled and manipulated by external forces (the term “soliton” was coined by Martin Kruskal and Norman Zabusky in 1969). By now, solitons (including different types of skyrmions) have been discovered in many condensed matter systems.