Relatively distortion-free waves for the \(m\)-dimensional wave equation

DOI10.1023/A:1021692826518zbMath1028.35038OpenAlexW171735412MaRDI QIDQ1873507

Aleksei P. Kiselev, Maria V. Perel

Publication date: 25 May 2003

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021692826518

zbMATH Keywords

distortion factor

Mathematics Subject Classification ID

Wave equation (35L05) Solutions to PDEs in closed form (35C05)

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Two-dimensional analogs of the classical Bateman wave are solutions of problems with moving sources ⋮ On astigmatic exponentially localized solutions for the wave and the Klein–Gordon–Fock equations ⋮ Exact solutions of the \(m\)-dimensional wave equation from paraxial ones. Further generalizations of the Bateman solution ⋮ Tilted nonparaxail beams and packets for the wave equation with two spatial variables ⋮ Traveling wave method ⋮ Simple solutions of the wave equation with a singularity at a running point, based on the complexified Bateman solution ⋮ Some representations of solutions to Blokhintsev equation ⋮ Two-dimensional singular splash pulses ⋮ Spherical Generalized Functional-Invariant Solutions to the Wave Equation ⋮ Bateman-Hörmander two-dimensional waves with a singularity at a running point

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