PDEs reduction and \lambda-symmetries


So called λ-symmetries were introduced by Muriel and Romero,and geometrically characterized by Pucci and Saccomandi [8, 12],in the ODE case.We extend them to the PDE framework. In this context the central object is a horizontal one-form \mu, and we speak of \mu-prolongations of vector fields and \mu-symmetries of PDEs.The latter are as good as standard symmetries in providing symmetry reduction of PDEs (or systems thereof) and explicit invariant solutions.

DOI Code: 10.1285/i15900932v23n2p33

Keywords: Differential equations; Lie symmetries; Invariant solutions; $lambda$ symmetries

Classification: 58J70; 35A30

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