Lie symmetry analysis, exact solutions, and conservation laws for the generalized time-fractional KdV-like equation
type: Item
instance of: scholarly article
title: Lie symmetry analysis, exact solutions, and conservation laws for the generalized time-fractional KdV-like equation
zbMATH Open document ID: 1473.35484
DOI: 10.1155/2021/6628130
author: Maria Ihsane El Bahi
author: Khalid Hilal
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: In this paper, the problem of constructing the Lie point symmetries group of the nonlinear partial differential equation appeared in mathematical physics known as the generalized KdV-Like equation is discussed. By using the Lie symmetry method for the generalized KdV-Like equation, the point symmetry operators are constructed and are used to reduce the equation to another fractional ordinary differential equation based on Erdélyi-Kober differential operator. The symmetries of this equation are also used to construct the conservation Laws by applying the new conservation theorem introduced by Ibragimov. Furthermore, another type of solutions is given by means of power series method and the convergence of the solutions is provided; also, some graphics of solutions are plotted in 3D.
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7385286
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6628130
OpenAlex ID: W3118384204
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description: scientific article; zbMATH DE number 7385286