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Painleve' test and symmetries of the long wave-short wave resonance equations

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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