Oliveri, Francesco (1990) Painleve' test and symmetries of the long wave-short wave resonance equations. Memorie di fisica matematica in omaggio a Giovanni Carini nel suo 70 compleanno, 1. pp. 575-595.
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Abstract
In this paper we consider a system of partial differential equations describing the resonant interaction between a long wave and a short wave. We show that the system at hand possesses the Painleve' property: as a consequence, an auto-Backlund transform is constructed. Moreover, we determine the classical as well as the non-classical symmetry groups allowing us to obtain various similarity reductions of the governing system.
| Item Type: | Article |
|---|---|
| Additional Information: | Atti della Accademia Peloritana dei Pericolanti, LXVIII |
| Subjects: | M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1990 > Supplemento 1 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1990 > Supplemento 1 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1990 > Supplemento 1 M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere Filosofia e belle Arti > 1990 > Supplemento 1 |
| Depositing User: | Stage ICCU |
| Date Deposited: | 19 Apr 2005 |
| Last Modified: | 14 Sep 2012 11:31 |
| URI: | http://cab.unime.it/mus/id/eprint/279 |
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