English

Invariant Subspace Method and Fractional Modified Kuramoto-Sivashinsky Equation

Analysis of PDEs 2015-03-31 v1 Mathematical Physics math.MP

Abstract

In this paper, the invariant subspace method is applied to the time fractional modified Kuramoto-Sivashinsky partial differential equation. The obtained reduced system of nonlinear ordinary fractional equations is solved by the Laplace transform method and with using of some useful properties of Mittag-Leffler function. Then, some exact solutions of the time fractional nonlinear studied equation are found.

Keywords

Cite

@article{arxiv.1503.08789,
  title  = {Invariant Subspace Method and Fractional Modified Kuramoto-Sivashinsky Equation},
  author = {A. Ouhadan and E. H. El Kinani},
  journal= {arXiv preprint arXiv:1503.08789},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-22T09:06:02.061Z