NEW FAMILIES OF SOLUTIONS FOR THE SPACE-TIME FRACTIONAL BURGERS’ EQUATION | Zendy

Abaker A. Hassaballa | Zendy; Ahmed M. A. Adam | Zendy; Eltayeb A. Yousif | Zendy; Mohamed I. Nouh | Zendy

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NEW FAMILIES OF SOLUTIONS FOR THE SPACE-TIME FRACTIONAL BURGERS’ EQUATION

Author(s) -

Abaker A. Hassaballa,

Ahmed M. A. Adam,

Eltayeb A. Yousif,

Mohamed 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.

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