Nonlinear waves of the internal medium due to dynamic loading of bi-continuum

The influence of internal hydrogen in metals is modeled using a bi-continual model. The internal medium is introduced in the bi-continuum for modeling the diffusion of mobile hydrogen. Study of the model equations was carried out under the assumption of a small fluctuation of the concentration of mobile hydrogen under the action of external mechanical load. The case of appearance of the nonlinear solitary waves exceeding the average concentration is considered. The conditions are obtained under which the appearance of a decaying solitary wave is possible.