We report tailed skyrmions -- a new class of stable soliton solutions of the
2D chiral magnet model. Tailed skyrmions have elongated shapes and emerge in a
narrow range of fields near the transition between the spin spirals and the
saturated state. We analyze the stability range of these solutions in terms of
external magnetic field and magnetocrystalline anisotropy. Minimum energy paths
and the homotopies (continuous transitions) between tailed skyrmions of the
same topological charge have been calculated using the geodesic nudged elastic
bands method. The discovery of tailed skyrmions extends the diversity of
already-known solutions illustrated by complex morphology solitons, such as
tailed skyrmion bags with and without chiral kinks.Comment: 7 pages, 6 figure