The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation
عنوان مقاله: The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation
شناسه ملی مقاله: JR_CMDE-9-4_020
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_CMDE-9-4_020
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Zehra Pinar - Tekirdağ Namık Kemal University, Faculty of Arts and Science, Department of Mathematics, ۵۹۰۳۰ Merkez-Tekirdağ, Turkey.
خلاصه مقاله:
Zehra Pinar - Tekirdağ Namık Kemal University, Faculty of Arts and Science, Department of Mathematics, ۵۹۰۳۰ Merkez-Tekirdağ, Turkey.
The simplified phenomenological model of long-crested shallow-water wave propagations is considered without/with the Coriolis effect. Symmetry analysis is taken into consideration to obtain exact solutions. Both classical wave transformation and transformations are obtained with symmetries and solvable equations are kept thanks to these transformations. Additionally, the exact solutions are obtained via various methods which are ansatz-based methods. The obtained results have a major role in the literature so that the considered equation is seen in a large scale of applications in the area of geophysical.
کلمات کلیدی: rotational green-naghdi equations, group transformations, Exact solutions
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1597897/