Antisymmetric bright solitary SH waves in a nonlinear heterogeneous plate

The propagation of nonlinear shear horizontal (SH) waves in an incompressible hyper-elastic plate of uniform thickness is investigated. It is assumed that the plate is made of heterogeneous, isotropic, and generalized neo-Hookean materials. By applying the method of multiple scales, a nonlinear Schrödinger (NLS) equation is derived describing the nonlinear self modulation of the waves. As a result of known solutions of an NLS equation, it is found that the antisymmetric bright solitary SH waves will exist and propagate in this plate. Moreover, not only the effect of the heterogeneity but also the effect of the nonlinearity on the deformation field is discussed for these waves.