The three wave resonant interaction equations: spectral and numerical methods

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

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

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
JournalLetters in Mathematical Physics
Volume96
Issue number1-3
DOIs
Publication statusPublished - 2011

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