مشخصات پژوهش

صفحه نخست /Non-classical Lie symmetry ...
عنوان Non-classical Lie symmetry and conservation laws of the nonlineartimefractional Korteweg-de Vries (KdV) equation
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Fractional equation, Lie symmetries, Classical symmetry, Non-classical symmetry, Conservation laws.
چکیده In this paper, 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 (RL) concept. In the current page, fi rst, we employ the classical and non-classical Lie symmetries (LS) to acquire similarity reductions of nonlinear fractional far field Korteweg-de Vries (KDV) equation and second, we fi nd the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators acquired, we construct conservation laws (cl) for related classical and non-classical vector fields of fractional far field KdV equation.
پژوهشگران علی حاجی بدلی (نفر دوم)، میر سجاد هاشمی (نفر اول)، mustafa Inc (نفر چهارم)، فرزانه علیزاده (نفر سوم)