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Study of a fifth order PDE using symmetries

Analysis of PDEs 2016-09-06 v1 Dynamical Systems

Abstract

We study a family of PDEs, which was derived as an approximation of an extended Lotka-Volterra system, from the point of view of symmetries. Also, by performing the self adjoint classification on that family we offer special cases possessing non trivial conservation laws. Using both classifications we justify the particular cases studied in the literature, and we give additional cases that may be of importance.

Keywords

Cite

@article{arxiv.1609.00776,
  title  = {Study of a fifth order PDE using symmetries},
  author = {Stylianos Dimas and Igor Leite Freire},
  journal= {arXiv preprint arXiv:1609.00776},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T15:39:06.868Z