Nonlinear SH waves in a heterogeneous layer

In this thesis, considering problems about the propagation of nonlinear SH (Shear Horizontal) waves in an isotropic, hyper-elastic layer of uniform thickness, lying on a rigid semi-infinite substratum is examined. It is assumed that the medium is homogeneous in the first problem and heterogeneous in the second problem. The method of multiple scales is used and the self modulation of nonlinear SH waves is given by NLS (Nonlinear Schrödinger) equation for each problem. The aspect of the known properties of NLS equation, bright solitary SH waves and dark solitary SH waves may exist in such layer.