عنوان	Classical and non-classical Lie symmetry analysis, conservation laws and exact solutions of the time-fractional Chen–Lee–Liu equation
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Lie group · System of time-fractional PDEs (SFPDEs) · Non-classical symmetry · Classical symmetry · Conservation laws · Chen–Lee–Liu equation
چکیده	The current work deals with the classical and non-classical Lie group analysis for the fractional type system of nonlinear Chen–Lee–Liu (CLL) equations. The invariance surface condition is imposed to this system of fractional differential equations to find non-classical generators. Non-classical and classical Lie symmetry analysis are used to similarity reductions of this system. Corresponding exact solutions are obtained for the extracted generators in both classical and non-classical senses. Convergence of the obtained solutions when fractional order tends to the integer one, is graphically checked. Finally, the conservation laws are investigated for the system of time-fractional CLL equations, specially for the non-classical vector fields.
پژوهشگران	علی حاجی بدلی (نفر دوم)، میر سجاد هاشمی (نفر اول)، mustafa Inc (نفر چهارم)، فرزانه علیزاده (نفر سوم)