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Generalised symmetries of partial differential equations via complex transformations

Published online by Cambridge University Press:  17 April 2009

D. Catalano Ferraioli
Affiliation:
Dip. di Matematica, Università di Milano, via Saldini, 20133 Milano, Italy, e-mail: catalano@mat.unimi.it
G. Manno
Affiliation:
Dip. di Matematica, Università di Lecce, via per Arnesano, 73100 Lecce, Italy, e-mail: gianni.manno@unile.it
F. Pugliese
Affiliation:
Dip. di Matematica e Informatica, Università di Salerno, via Ponte don Melillo, 84084 Fisciano (SA) Italy, e-mail: fpugliese@unisa.it
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We consider two systems of real analytic partial differential equations, related by a holomorphic contact map H. We study how the generalised symmetries of the first equation are mapped into those of the second one, and determine under which conditions on H such a map is invertible. As an application of these results, an example of physical interest is discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2007

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