عنوان	Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	fractional equation, Lie symmetry analysis, classical symmetry conservation laws
چکیده	In this work, we use the symmetry of the Lie group analysis as one of the powerful tools which 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.
پژوهشگران	علی حاجی بدلی (نفر سوم)، میر سجاد هاشمی (نفر دوم)، فرزانه علیزاده (نفر اول)