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Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation

Publish Year: 1401
Type: Journal paper
Language: English
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JR_CMDE-10-3_004

Index date: 29 January 2023

Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation 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.

Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation Keywords:

Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation authors

Farzaneh Alizadeh

Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.

Mir Sajjad Hashemi

Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.

Ali Haji Badali

Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.

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