English

Lie group classifications and exact solutions for time-fractional Burgers equation

Mathematical Physics 2015-05-20 v1 Group Theory math.MP Exactly Solvable and Integrable Systems

Abstract

Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.

Keywords

Cite

@article{arxiv.1011.3692,
  title  = {Lie group classifications and exact solutions for time-fractional Burgers equation},
  author = {Guo-cheng Wu},
  journal= {arXiv preprint arXiv:1011.3692},
  year   = {2015}
}

Comments

9 pp, accepted