TY - JOUR
ID - 13343
TI - Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Alizadeh, Farzaneh
AU - Hashemi, Mir Sajjad
AU - Haji Badali, Ali
AD - Department of Mathematics, Basic Science Faculty,
University of Bonab, Bonab, Iran.
Y1 - 2022
PY - 2022
VL - 10
IS - 3
SP - 608
EP - 616
KW - Fractional equation
KW - Lie symmetry analysis
KW - classical symmetry
KW - Conservation laws
DO - 10.22034/cmde.2021.45436.1911
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_13343.html
L1 - https://cmde.tabrizu.ac.ir/article_13343_2e61acc95f056d4e56b94e68579ee004.pdf
ER -