Bright and Dark Solitary Love Waves in a Heterogeneous Semi-Space Coated with a Heterogeneous Elastic Layer

Abstract

The propagation of nonlinear Love waves in an elastic, vertically heterogeneous crust laid upon an elastic, heterogeneous semi-space is considered. By employing the multiple scales method, the amplitude function of Love waves is represented by a nonlinear Schrödinger equation which includes the nonlinear material and heterogeneity parameters of the layered semi-space in its coefficients. This study numerically investigates the influence of heterogeneity as well as the nonlinear properties of the media on the presence of bright and dark solitary Love waves. Moreover, the remarkable effects of nonlinear and heterogeneous material properties of both layer and semi-space on the wave evolution of bright and dark solions are graphically shown.