Its, AlexanderIts, Elizabeth2022-05-192022-05-192021-05Its, A., & Its, E. (2021). Riemann–Hilbert approach to the elastodynamic equation: Half plane. Letters in Mathematical Physics, 111(3), 68. https://doi.org/10.1007/s11005-021-01390-5https://hdl.handle.net/1805/29084We show, how the Riemann–Hilbert approach to the elastodynamic equations, which have been suggested in our preceding papers, works in the half plane case. We pay a special attention to the emergence of the Rayleigh waves within the scheme.enPublisher Policyelastodynamic equationRayleigh waveRiemann-Hilbert problemRiemann–Hilbert approach to the elastodynamic equation: half planeArticle