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

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