EUDML | Canonical functions of asymptotic diffraction theory associated with symplectic singularities

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Displaying similar documents to “Canonical functions of asymptotic diffraction theory associated with symplectic singularities”

On geometry of fronts in wave propagations

Susumu Tanabé (1999)

Banach Center Publications

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We give a geometric descriptions of (wave) fronts in wave propagation processes. Concrete form of defining function of wave front issued from initial algebraic variety is obtained by the aid of Gauss-Manin systems associated with certain complete intersection singularities. In the case of propagations on the plane, we get restrictions on types of possible cusps that can appear on the wave front.

Simple derivation of quasinormal modes for arbitrary spins.

Khriplovich, Iosif, Ruban, Gennady (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Edge asymptotics on a skew cylinder: complex variable form

Martin Costabel, Monique Dauge (1992)

Banach Center Publications

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Kink-antikink interaction for semilinear wave equations with a small parameter.

Garcia, Martin G., Omel'yanov, Georgii A. (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Weak asymptotic method for the study of propagation and interaction of infinitely narrow $δ$ -solitons.

Danilov, Vladimir G., Omel'yanov, Georgii A. (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Singularities of wave fronts at the boundary between two media

Oleg Myasnichenko (1996)

Banach Center Publications

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Singularities and duality in the flat geometry of submanifolds of Euclidean spaces.

Mochida, D. K. H., Romero-Fuster, M. C., Ruas, M. A. S. (2001)

Beiträge zur Algebra und Geometrie

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Asymptotic and numerical description of the kink/antikink interaction.

Omel&#039;yanov, Georgii A., Segundo-Caballero, Israel (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Asymptotic behavior for the centered-rarefaction appearance problem.

Flores-Espinoza, Ruben, Omel'yanov, Georgii A. (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Removable singularities in the boundary conditions

Yuri Egorov (1992)

Banach Center Publications

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Non-perturbative asymptotic improvement of perturbation theory and Mellin-Barnes representation.

Friot, Samuel, Greynat, David (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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About a second-order equation with variable coefficients.

Bucur, Amelia (2006)

General Mathematics

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Transversalities for Lagrange singularities of isotropic mappings of corank one

Goo Ishikawa (1996)

Banach Center Publications

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