PDEs reduction and $\lambda$-symmetries

Authors

  • Giuseppe Gaeta
  • Paola Morando

DOI:

https://doi.org/10.1285/i15900932v23n2p33

Keywords:

Differential equations, Lie symmetries, Invariant solutions, $lambda$ symmetries

Abstract

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.

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Published

31-12-2004

Issue

Volume 23, Issue 2 (2004)

Section

Articoli

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