The three wave resonant interaction equations: spectral and numerical methods

Degasperis, Antonio, Conforti, Matteo, Baronio, Fabio, Wabnitz, Stefan and Lombardo, Sara (2011) The three wave resonant interaction equations: spectral and numerical methods. Letters in Mathematical Physics, 96 (1-3). pp. 367-403. ISSN 0377-9017

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Official URL: http://dx.doi.org/10.1007/s11005-010-0430-4

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.

Item Type: Article
Uncontrolled Keywords: 74J30, 37K15, 65Z05, three-wave resonant interaction, spectral theory, numerical computation
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Depositing User: Sarah Howells
Date Deposited: 20 Apr 2012 15:10
Last Modified: 10 Aug 2015 11:19
URI: http://nrl.northumbria.ac.uk/id/eprint/6375

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