The Three-Wave Resonant Interaction Equations: Spectral and Numerical Methods
Authors: Degasperis A., Conforti M., Baronio F., Wabnitz S., Lombardo S.
Autors Affiliation: 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.
Journal/Review: LETTERS IN MATHEMATICAL PHYSICS
Volume: 96 (1-3) Pages from: 367 to: 403
KeyWords: numerical computation; spectral theory; three-wave resonant interactionDOI: 10.1007/s11005-010-0430-4Citations: 13data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2022-11-27References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here