ABSTRACT

This chapter explores the descriptions of various numerical experiments in propagation and the amplification of the strain solitary wave in different nonlinearly elastic wave guides. It deals with numerical simulation of the propagation of a long nonlinear strain wave in different uniform or inhomogeneous wave guides. The chapter shows that the strain soliton propagates without change of shape in uniform rod, layer or plate, while its shape will vary in presence of inhomogeneities. The strain solitons generation depends on elasticity of the wave guides, and primarily, on the balance between dispersion and nonlinearity in order to provide the stable solitary waves. The interaction of the strain soliton and a linear wave may be of interest as a demonstration of stability of the strain solitary wave in the interaction with noise signals, e.g., with reflected linear waves in real physical experiments. The energy conservation integral remains practically constant before and after the solitons collision, however during the interaction its stationarity fails.