Supersolid-like solitons in two-dimensional nonmagnetic spin-orbit coupled spin-1 and spin-2 condensates

We demonstrate spontaneous generation of spatially-periodic supersolid-like super-lattice and stripe solitons in Rashba spin-orbit (SO) coupled spin-1 spin-2 quasi-two-dimensional nonmagnetic Bose-Einstein condensates (BECs). The a weakly SO-coupled BEC are circularly-symmetric $(-1, 0, +1)$ $(0, +1, +2)$ types have inherent vorticity; the numbers parentheses winding hyper-spin components $+1, -1$, respectively. an $(-2, -1, +2, +3)$ with former being ground state, where correspond to spin $+2, -2$, For stronger SO-coupling strengths, these acquire multiring structure while preserving numbers. Quasi-degenerate solitons, besides circularly-asymmetric soliton, also emerge as excited stationary states for strengths BECs. pla-cl.tex