On a Hyperbolic Equation for the Rayleigh Wave
Kaplunov J.D. Prikazchikov D.A. Sabirova R.F.
October 2022Pleiades Publishing
Doklady Physics
2022#67Issue 10424 - 427 pp.
Abstract: A 1D hyperbolic equation is derived for the Rayleigh wave induced by prescribed surface loading. The wave operator turns out to be independent of the vertical coordinate, which appears only in the right hand side of the equation as a parameter within the pseudo-differential operator acting on the given load. It is shown that in case of the classical 2D Lamb problem this operator causes smoothening of the surface concentrated impulse as the depth increases. The suggested formulation enables revealing of the peculiarities of surface elastic wave.
hyperbolic equation , Lamb problem , pseudo-differential operator , Rayleigh wave
Text of the article Перейти на текст статьи
School of Computer Science and Mathematics, Keele University, Staffordshire, Keele, United Kingdom
Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
School of Computer Science and Mathematics
Al-Farabi Kazakh National University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026