مشخصات پژوهش

صفحه نخست /The (2 + 1)‑dimensional ...
عنوان The (2 + 1)‑dimensional generalized time‑fractional Zakharov Kuznetsov Benjamin Bona Mahony equation: its classical and nonclassical symmetries, exact solutions, and conservation laws
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها (2 + 1)-Dimensional nonlinear time-fractional ZK–BBM; Gravitational waves of water; Classical and nonclassical Lie symmetries; Exact solutions; Conservation laws
چکیده In the present paper, a model of the gravitational waves of water known as the (2 + 1) -dimensional generalized time-fractional (2DGTF) Zakharov Kuznetsov Benjamin Bona Mahony (ZK–BBM) equation is studied. To this end, through employing the Lie symmetry method, exact solutions and reductions are derived for the governing equation. Additionally, classical and nonclassical Lie symmetry generators are acquired, and based on such Lie symmetry generators, conservation laws for the classical and nonclassical vector fields related to the 2DGTF ZK–BBM equation are constructed. Some case studies are given to analyze the impact of the order of the time-fractional derivative on the dynamics of the exact solutions.
پژوهشگران میر سجاد هاشمی (نفر چهارم)، فرزانه علیزاده (نفر اول)، Evren Hincal (نفر دوم)، Kamyar Hosseini (نفر سوم)، Anusmita Das (نفر پنجم)