Conservation Laws of the Time-Fractional Zakharov-Kuznetsov-Burgers Equation
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Authors: A. NADERIFARD, S. R. HEJAZI AND E. DASTRANJ
DOI: 10.46793/KgJMat2001.075N
Abstract:
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.
Keywords:
Generalized Zakharov-Kuznetsov-Burgers equation, Riemann Liouviile derivative, Caputo fractional derivative, Lie point symmetry, fractional conservation laws.
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