Symmetry, Vol. 16, Pages 473: Lie Symmetry Analysis and Conservation Laws of Fractional Benjamin–Ono Equation

Symmetry, Vol. 16, Pages 473: Lie Symmetry Analysis and Conservation Laws of Fractional Benjamin–Ono Equation

Symmetry doi: 10.3390/sym16040473

Authors: Hui Liu Yinshan Yun

In this paper, the fractional Benjamin–Ono differential equation with a Riemann–Liouville fractional derivative is considered using the Lie symmetry analysis method. Two symmetries admitted by the equation are obtained. Then, the equation is reduced to a fractional ordinary differential equation with an Erdélyi–Kober fractional derivative by one of the symmetries. Finally, conservation laws for the equations are constructed using the new conservation theorem.