Open AccessNEW FAMILIES OF SOLUTIONS FOR THE SPACE-TIME FRACTIONAL BURGERS’ EQUATION
Author(s) -
Abaker A. Hassaballa,
Ahmed M. A. Adam,
Eltayeb A. Yousif,
M. I. Nouh
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a04
Subject(s) - burgers' equation , mathematics , conformal map , space (punctuation) , mathematical analysis , hyperbolic function , tangent , function (biology) , spacetime , partial differential equation , physics , computer science , geometry , quantum mechanics , evolutionary biology , biology , operating system
In this paper, the hyperbolic tangent function method is applied for constructing exact solutions for space-time conformal fractional Burgers’ equation. Furthermore, the space-time conformal fractional Burgers’ equation is tested for the Painlevé property, and consequently, new numerous exact solutions are generated via Bäcklund transform.