English

Group classification of variable coefficient quasilinear reaction-diffusion equations

Exactly Solvable and Integrable Systems 2013-12-17 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

The group classification of variable coefficient quasilinear reaction-diffusion equations ut=uxx+h(x)B(u)u_t=u_{xx}+h(x)B(u) is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of admissible point transformation within the class.

Cite

@article{arxiv.1302.4915,
  title  = {Group classification of variable coefficient quasilinear reaction-diffusion equations},
  author = {Olena Vaneeva and Alexander Zhalij},
  journal= {arXiv preprint arXiv:1302.4915},
  year   = {2013}
}

Comments

10 pages, submitted to the Proceedings of the XVII Geometrical Seminar (September 3-8, 2012, Zlatibor, Serbia)

R2 v1 2026-06-21T23:29:20.376Z