Group classification and constructing conservation laws for time-fractional Sawada-Kotera-Parker-Dye equation

  • تاریخ ثبت : 15 شهریور 1400
  • نویسندگان : نعمت اله کدخدا
  • کلمات کلیدی : 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.