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.
Generalised symmetries of partial differential equations via complex transformations / D. Catalano Ferraioli, G. Manno, F. Pugliese. - In: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. - ISSN 0004-9727. - 76:2(2007), pp. 243-262.
Generalised symmetries of partial differential equations via complex transformations
D. Catalano FerraioliPrimo
;
2007
Abstract
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.
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