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A Personal Overview on the Reduction Methods for Partial Differential Equations


Abstract


This paper is devoted to a personal overview about weak symmetries of partial differential equations. The relationship between weak symmetries and overdetermined systems of partial differential is considered.On the basis of this relationship it is shown how it is possible to use the concept of weak symmetries to unify several ad hoc reduction methods for partial differential equations.

DOI Code: 10.1285/i15900932v23n2p217

Keywords: Non-classical symmetries; Weak symmetries; Reduction methods; Semi-inverse methods

Classification: 58J35; 22E05; 35C05

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