- Date: 2021 Sep 06
- Authors: نعمت اله کدخدا
- Keywords: Fractional differential equation; Lie group; Fractional conservation laws; timefractional
Sawada-Kotera-Parker-Dye equation; Riemann-Liouville derivative; Group-invariant
solutions.
Finding the symmetries and conservation laws of the nonlinear fractional differential
equations are topics, which have many applications in various fields of science and engineering.
In this manuscript, firstly, by using the Lie symmetry analysis, we obtain the Lie
point symmetries of the time-fractional Sawada-Kotera-Parker-Dye equation. After that,
by using the infinitesimal generators, we present the corresponding reduced fractional differential
equations and fractional conservation laws.