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

Anno: 2011

Autori: Degasperis A., Conforti M., Baronio F., Wabnitz S., Lombardo S.

Affiliazione autori: CNISM and Dipartimento di Ingegneria dell\’Informazione, Università di Brescia, Brescia, Italy; Dipartimento di Fisica, Università di Roma La Sapienza, Rome, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Rome, Italy; Department of Mathematics, Vrije Universiteit, Amsterdam, Netherlands; School of Mathematics, University of Manchester, Alan Turing Building, Manchester, United Kingdom

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.


Volume: 96 (1-3)      Da Pagina: 367  A: 403

Parole chiavi: numerical computation; spectral theory; three-wave resonant interaction
DOI: 10.1007/s11005-010-0430-4

Citazioni: 14
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2023-12-10
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui