Geodesic
Conservation Laws of the Time-Fractional Zakharov-Kuznetsov-Burgers Equation
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 75 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
Classification : 34K37 76M60
Keywords: generalized Zakharov-Kuznetsov-Burgers equation, Riemann Liouviile derivative, Caputo fractional derivative, Lie point symmetry, fractional conservation laws 
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     author = {Azadeh Naderifard and S. Reza Hejazi and Elham Dastranj},
     title = {Conservation {Laws} of the {Time-Fractional} {Zakharov-Kuznetsov-Burgers} {Equation}},
     journal = {Kragujevac Journal of Mathematics},
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     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a4/}
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Azadeh Naderifard; S. Reza Hejazi; Elham Dastranj. Conservation Laws of the Time-Fractional Zakharov-Kuznetsov-Burgers Equation. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 75 . http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a4/