مشخصات پژوهش

عنوان	A survey of (2+1)-dimensional KdV–mKdV equation using nonlocal Caputo fractal–fractional operator
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	KdV equation; J-transform Kink; soliton Caputo operator
چکیده	We analyze the nonlinear (2+1)-dimensional KdV–mKdV equation with Caputo fractal–fractional operator. Some theoretical features are demonstrated via fixed point results. The solution of the considered KdV–mKdV is studied by the composition of the J-transformation and decomposition method. For the validity and effectiveness of the considered method, two examples with suitable initial conditions are solved, where best agreements observed. The validity of the suggested approach is verified by convergence analysis and Picard stability. From the simulations of the obtained results, it is noted that fractional order and fractal dimension significantly affects the amplitude and shape of wave solutions.
پژوهشگران	علی شکری (نفر پنجم)، شهزاد سرور (نفر چهارم)، شبیر احمد (نفر سوم)، امان الله (نفر دوم)، عبدل جمال (نفر اول)