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Zbl 0812.35005
Pucci, Edvige; Saccomandi, Giuseppe
Contact symmetries and solutions by reduction of partial differential equations. (English)
[J] J. Phys. A, Math. Gen. 27, No.1, 177-184 (1994). ISSN 0305-4470

Summary: The correspondence between a contact symmetry of a second-order PDE ${\cal E}$ and a point symmetry of the equivalent first order system ${\cal S}$ is used to determine a class of solutions for ${\cal E}$ which may not always be invariant under contact transformation. We name these solutions pseudo-invariant because they are determined from a point symmetry of ${\cal S}$ via a reduction method. Invariant solutions under the related contact transformation are included in the family of pseudo- invariant solutions.

MSC 2000:: *35A30 Geometric theory for PDE, transformations
35C05 Solutions of PDE in closed form
35A25 Other special methods (PDE)

Keywords: pseudo-invariant solutions

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