Surface wave propagation at the interface between lossy metamaterials medium and nonlinear media with arbitrary nonlinearity

► We present three layers waveguide consisting of MTMs, linear substrate and nonlinear cladding. ► Plasmonic frequency dispersion equation is analytically derived. ► We assume MTMs to have loss and nonlinear cladding to have an arbitrary nonlinear dependence. ► Nonlinearity affects the propagation behavior of plasmonic surface waves.