Riemann-Hilbert approach to the elastodynamic equation. I

DOI10.1007/s11005-010-0448-7zbMath1276.35124arXiv1311.2976OpenAlexW2009172358WikidataQ57574040 ScholiaQ57574040MaRDI QIDQ539077

Elizabeth Its, Alexander R. Its, Julius D. Kaplunov

Publication date: 27 May 2011

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2976

zbMATH Keywords

Riemann-Hilbert problemRayleigh waveelastodynamic equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Classical linear elasticity (74B05) Wave scattering in solid mechanics (74J20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Riemann-Hilbert problems in context of PDEs (35Q15) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

The Riemann-Hilbert approach to the Helmholtz equation in a quarter-plane: Neumann, Robin and Dirichlet boundary conditions ⋮ Eigenvalues for the Laplace operator in the interior of an equilateral triangle ⋮ Nonlinear Fourier Transforms and the mKdV Equation in the Quarter Plane ⋮ Riemann-Hilbert approach to the elastodynamic equation: half plane

Cites Work

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• Lax pairs and a new spectral method for linear and integrable nonlinear PDEs
• Integrability and beyond
• Two–dimensional linear partial differential equations in a convex polygon
• A Unified Approach to Boundary Value Problems
• A unified transform method for solving linear and certain nonlinear PDEs

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