Exact solutions of the wave equation with complex source locations

Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

270 Scopus citations


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
Issue number4
StatePublished - 1985
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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