Title of article
Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
Author/Authors
Alizadeh, Farzaneh Department of Mathematics - Basic Science Faculty - University of Bonab, Bonab, Iran , Hashemi, Mir Sajjad Department of Mathematics - Basic Science Faculty - University of Bonab, Bonab, Iran , Badali, Ali Haji Department of Mathematics - Basic Science Faculty - University of Bonab, Bonab, Iran
Pages
9
From page
608
To page
616
Abstract
In this work, we use the symmetry of the Lie group analysis as one of the powerful tools that deals with the wide class of fractional order differential equation in the Riemann-Liouville concept. We employ the classical Lie symmetries to obtain similarity reductions of nonlinear time-fractional Benjamin-Ono equation and then, we find the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators obtained, we construct conservation laws for related classical vector fields of time-fractional Benjamin-Ono equation.
Keywords
Fractional equation , Lie symmetry analysis , Conservation laws , Classical symmetry
Journal title
Computational Methods for Differential Equations
Serial Year
2022
Record number
2721402
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