English

Variational problems without having any non-trivial Lie variational symmetries

Analysis of PDEs 2010-07-06 v1

Abstract

In this paper we construct variational problems without Lie non-trivial variational symmetry and solving them using new class of symmetries (μ\mu-symmetry) which introduced by Guiseppe Gaeta and Paola Morando (2004). The central object in this paper is horizontal one-form μ\mu on first order jet space J1MJ^1 M.

Cite

@article{arxiv.1007.0452,
  title  = {Variational problems without having any non-trivial Lie variational symmetries},
  author = {Mehdi Nadjafikhah and Saeed Dodangeh},
  journal= {arXiv preprint arXiv:1007.0452},
  year   = {2010}
}

Comments

6 pages

R2 v1 2026-06-21T15:44:02.904Z