The propagation and interaction of hyperelastic cylindrical waves are studied. The nonlinearity is introduced by Murnaghan's potential and corresponds to a quadratic nonlinearity of all basic relationships. For the analysis of wave propagation, the asymptotic representation of the Hankel function of the first order and index 1 is used. Obtained within the framework of the second approximation, an analytical solution of the nonlinear wave equation consists of the sum of "the first" and "the second" harmonics. For some types of fibrous composite materials with fibers of micro- and nanolevels, the primary computer analysis of a distortion of the initial wave profile is carried out, and the transformation of the first harmonics of a cylindrical wave into the second one is demonstrated graphically.

• Рущицький Ярема Ярославович (1941–) (фізико-математичні науки)
• Симчук Ярослав Вікторович (фізико-математичні науки)

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