Variational problems without having any non-trivial Lie variational symmetries

Details Variational problems without having any non-trivial Lie variational symmetries Variational problems without having any non-trivial Lie variational symmetries

2010-07-02

arxiv.org/abs/1007.0452v1

Mathematics

Analysis of PDEs

6 pages

Scientific paper

In this paper we construct variational problems without Lie non-trivial
variational symmetry and solving them using new class of symmetries
($\mu$-symmetry) which introduced by Guiseppe Gaeta and Paola Morando (2004).
The central object in this paper is horizontal one-form $\mu$ on first order
jet space $J^1 M$.

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