The optimal system, similarity reduction and group-invariant solutions to the Fractional Porous Medium equation and Fractional Dual Porous Medium equation

Autor:	Yang, Ying, Wang, Li-zhen
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	In this paper, we developed the group analysis to the time Fractional Porous Medium Equation (FPME) and the time Fractional Dual Porous Medium Equation (FDPME). The symmetry groups and the corresponding optimal systems of these two equations are obtained. Based on the above results, similarity reductions are performed and some explicit group invariant solutions are constructed.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1901.03666 Zobrazit plný text záznamu View this record from Arxiv