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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
    Divisions: UNSPECIFIED
    Depositing User: Stage ICCU
    Date Deposited: 19 Apr 2005
    Last Modified: 14 Sep 2012 13:31
    URI: http://cab.unime.it/mus/id/eprint/279

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