Two-dimensional singular splash pulses

DOI10.1007/S10958-021-05185-WzbMath1456.35005OpenAlexW3118360187MaRDI QIDQ2218792

E. A. Zlobina, Aleksei P. Kiselev

Publication date: 18 January 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05185-w

zbMATH Keywords

2D Bateman-type complexified solutionsingularity at a running point

Mathematics Subject Classification ID

Wave equation (35L05) Singularity in context of PDEs (35A21)

Related Items (1)

Two-dimensional analogs of the classical Bateman wave are solutions of problems with moving sources

Cites Work

• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Simple solutions of the wave equation with a singularity at a running point, based on the complexified Bateman solution
• Relatively distortion-free waves for the \(m\)-dimensional wave equation
• Exact solutions of the \(m\)-dimensional wave equation from paraxial ones. Further generalizations of the Bateman solution
• Bateman-Hörmander two-dimensional waves with a singularity at a running point
• Highly localized solutions of the wave equation

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