The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods

Antonio Degasperis, Matteo Conforti*, Fabio Baronio, Stefan Wabnitz, Sara Lombardo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


The spectral theory of the integrable partial differential equations which model the resonant interaction of three waves is considered with the purpose of numerically solving the direct spectral problem for both vanishing and non vanishing boundary values. Methods of computing both the continuum spectrum data and the discrete spectrum eigenvalues are given together with examples of such computations. The explicit spectral representation of the Manley-Rowe invariants is also displayed.

Original languageEnglish
Pages (from-to)367-403
Number of pages37
JournalLetters in Mathematical Physics
Issue number1-3
Publication statusPublished - Jun 2011


  • numerical computation
  • spectral theory
  • three-wave resonant interaction

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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