Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation. (28th October 2022)

• Record Type: Journal Article
• Authors: El Bahi, Maria Ihsane; Hilal, Khalid
• Other Names: Bianca Carlo Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2022(2022)
• Publication Date: 2022-10-28
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2022/5825938
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : In this paper, Lie symmetries of time-fractional KdV-Like equation with Riemann-Liouville derivative are performed. With the aid of infinitesimal symmetries, the vector fields and symmetry reductions of the equation are constructed, respectively; as a result, the invariant solutions are acquired in one case; we show that the KdV-like equation can be reduced to a fractional ordinary differential equation (FODE) which is connected with the Erdélyi-Kober functional derivative; for this kind of reduced form, we use the power series method for extracting the explicit solutions in the form of power series solution. Finally, Ibragimov's theorem has been employed to construct the conservation laws.