English

Lie group theory for nonlinear fractional K(m,n) type equation with variable coefficients

Analysis of PDEs 2020-06-16 v1

Abstract

We investigated the analytical solution of fractional order K(m,n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m,n) type equation.

Keywords

Cite

@article{arxiv.2006.08014,
  title  = {Lie group theory for nonlinear fractional K(m,n) type equation with variable coefficients},
  author = {H. Jafari and N. Kadkhoda and D. Baleanu},
  journal= {arXiv preprint arXiv:2006.08014},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T16:19:03.020Z