Generalized phases and nondispersive waves

DOI10.1007/BF00993341zbMath0801.35070MaRDI QIDQ1802854

Pierre Hillion

Publication date: 29 June 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

plane wavesspherical wavesnondispersive solutions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Wave scattering in solid mechanics (74J20) Wave equation (35L05)

Related Items (9)

Gaussian wave packets based on ``complex sources ⋮ Electromagnetic pulses, localized and causal ⋮ 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 ⋮ Simple solutions of the wave equation with a singularity at a running point, based on the complexified Bateman solution ⋮ Highly localized solutions of the wave equation ⋮ Nondispersive edge modes. ⋮ A new class of relatively undistorted progressing waves

Cites Work

• Complex source pulsed beam representation of transient radiation
• The Goursat problem for the homogeneous wave equation
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