“…Unfortunately, the theory of polarised GWs in waveguides with a circular cross-section is not developed as thoroughly as for the plane waveguides. Even the simplest cases of monochromatic wave propagation in such cylinders filled with Kerr media are studied only on the basis of perturbation methods [18,20,22,23,69]; the cases of coupled non-linear wave propagation are more complicated [60,61,70]. However, numerically novel guided regimes were predicted in [22,23].…”