The comparison between effects of heterogeneous and homogeneous half-spaces underlying homogeneous layer on solitary Love waves

A comparative analysis is performed on the effects of heterogeneity in both linear and nonlinear material characteristics of half-space on the propagation of bright and dark solitary Love waves in a nonlinear layered half-space. The layer is assumed to be homogeneous, nonlinear, elastic while the half-space is vertically heterogeneous. The problem is formulated for two types of elastic materials, incompressible and generalized neo-Hookean materials, and the differences caused by the two materials in the formulation are revealed. For the media composed of generalized neo-Hookean materials, a nonlinear Schrödinger (NLS) equation describing the self interaction of Love waves is obtained by utilizing multiple scales method. The differences in the effects of linear and nonlinear material properties of the half-space on both the existence and nonlinear evolution of bright and dark solitary Love waves are compared graphically.