Conservation Laws of the Time-Fractional Zakharov-Kuznetsov-Burgers Equation

Azadeh Naderifard, S. Reza Hejazi, Elham Dastranj

An important application of Lie group theory of differential equations is applied to study conservation laws of time-fractional Zakharov-Kuznetsov-Burgers (ZKB) equation with Riemann-Liouville and Caputo derivatives. This analysis is based on a modified version of Noether's theorem provided by Ibragimov to construct the conserved vectors of the equation. This is done by non-linearly self-adjointness of the equation which will be stated via a formal Lagrangian in the sequel.