Nonlinear acoustic localized waves in solids

In the framework of an extended Boussinesq equation, a new class of localized two-parameter states has been obtained and studied in detail. It has been shown that three principal parameters of the problem (elasticity moduli describing quadratic and cubic nonlinearities and dispersion, which vary over a wide range) determine the necessary conditions of their formation. At the plane of two parameters (“pedestal” of a localized state and its width), two regions where the conditions of formation of these distributions are satisfied have been constructed. The results obtained can be used for the interpretation of experimental data on the structure and dynamic properties of localized acoustic states, including solitons in solids.