Based on the Collins formula in strongly nonlocal nonlinear media (SNNM), the analytical expression for Lorentz beam passing through SNNM has been derived. It is found that the propagation behavior of Lorentz beam is variable and closely related to the parameters of initial ellipticity [Formula: see text] and input power. The beam has its own critical power in [Formula: see text] and [Formula: see text] directions, respectively. If the Lorentz beam with critical power in a certain direction enters in SNNM, its beam width will remain constant in that direction during propagation, otherwise its beam width varies periodically, as either broad or compressed. Moreover, when [Formula: see text], the beam spot is always symmetrical in [Formula: see text] and [Formula: see text] directions; when [Formula: see text], the beam spot is no longer symmetrical in [Formula: see text] and [Formula: see text] directions. Numerical simulations are carried out to illustrate these quintessential propagation properties.
Propagation properties of quadrupole breather in nonlinear media with a nonlocal exponential-decay response