Nonlinear $s$-polarized quasi-surface waves in the symmetric structure with a metamaterial core

The theory of nonlinear $s$-polarized surface waves, which propagate in a symmetric planar threelayered structure with a metamaterial core and nonlinear coverings, has been constructed. It has been shown that the occurrence of only nonlinear quasi-surface waves is possible in such a structure. Dispersion laws and energy fluxes of symmetric, even, and odd modes at different parameters have been found and investigated. The qualitative behavior of dispersion laws substantially depends on the core thickness.