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On the minimal amplitude attained in the domain of interaction between two nonlinear counter waves. (English. Russian original) Zbl 0872.73004
Math. Notes 57, No. 5, 554-558 (1995); translation from Mat. Zametki 57, No. 5, 788-793 (1995).
The author presents exact formulas for (absolute) minimum amplitudes of stress waves in the title problem. The approach developed in the paper is based on the Christianovich method.
74J10 Bulk waves in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
Full Text: DOI
[1] S. A. Khristianovich, ”Reflection of a long wave of finite amplitude propagating in a prismatic channel,” in: IV Hydrological Conference of the Baltic Countries, Leningrad (1933), pp. 1–12.
[2] N. E. Vol’tsinger, K. A. Klevannyi, and E. N. Pelinovskii, Long-wave Dynamics of the Coastal Zone [in Russian], Gidrometeoizdat, Leningrad (1989).
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