Exact solutions of the wave equation with complex source locations

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246 Scopus citations

Abstract

New exact solutions of the homogeneous, free-space wave equation are obtained. They originate from complex source points moving at a constant rate parallel to the real axis of propagation and, therefore, they maintain a Gaussian profile as they propagate. Finite energy pulses can be constructed from these Gaussian pulses by superposition.

Original languageEnglish (US)
Pages (from-to)861-863
Number of pages3
JournalJournal of Mathematical Physics
Volume26
Issue number4
DOIs
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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