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
Catalano Ferraioli, D., Manno, G., Pugliese, F. (2007). Generalised symmetries of partial differential equations via complex transformations. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 76(2), 243-262 [10.1017/S0004972700039630].
Generalised symmetries of partial differential equations via complex transformations
MANNO, GIOVANNI;
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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