Derivation of a matrix Painlevé equation germane to wave scattering by a broken corner

DOI10.1016/0167-2789(84)90436-6zbMath0594.35076OpenAlexW1975334022MaRDI QIDQ1076910

John M. Myers

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90436-6

zbMATH Keywords

eigenvalue problemwave scatteringreduction to ordinary differential equationsPainlevé's equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Ordinary differential operators (34L99)

Cites Work

• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
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