Relatively undistorted cylindrical waves depending on three spatial variables

DOI10.1007/S11006-006-0066-YzbMath1116.35105OpenAlexW1983519424MaRDI QIDQ881041

N. E. Zubov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0066-y

zbMATH Keywords

wave equationharmonic functionspherical wavesplanecylindricalBateman solutionrelatively undistorted wave

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40)

Related Items (2)

Exact solutions of the \(m\)-dimensional wave equation from paraxial ones. Further generalizations of the Bateman solution ⋮ Spherical Generalized Functional-Invariant Solutions to the Wave Equation

Cites Work

• Highly localized solutions of the wave equation
• Generalization of Bateman–Hillion progressive wave and Bessel–Gauss pulse solutions of the wave equation via a separation of variables
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