Twisted partially coherent solitons in strongly nonlocal nonlinear media

•A twisted partially coherent soliton (TPCS) can be formed in strongly nonlocal nonlinear media.•Analytical expressions of the characteristic parameters of TPCSs are derived.•Characteristics of TPCSs can be manipulated by the twist parameter.•A TPCS may convert to a soliton without twist. The analytical propagation formulae of twisted partially coherent beams in strongly nonlocal nonlinear media (SNNM) are derived. It is shown that a twisted partially coherent soliton (TPCS) can be formed in SNNM when the critical power arrives. The analytical expressions of the characteristic parameters of TPCSs are also derived, e.g., the critical power, soliton width, soliton coherence width, and soliton twist parameter. It is found that the characteristics of TPCSs can be manipulated by the twist parameter. In particular, a TPCS may convert to a soliton without twist when the critical coherence width arrives.