Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation
type: Item
instance of: scholarly article
title: Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation
zbMATH Open document ID: 1473.76043
DOI: 10.1155/2021/6614231
author: Nisrine Maarouf
author: Hicham Maadan
author: Khalid Hilal
published in: International Journal of Differential Equations
publication date: 2021-05-19T00:00:00Z
review text: The paper under review presents an approach to the time-fractional regularized long-wave equation \(D_t^\alpha u+u_x-\frac{a}{2}uu_x-bu_{xxt}=0\) based on the systematic use of symmetry groups, particularly Lie groups. Here \(D_t^\alpha\) is the fractional derivative of order \(0<\alpha\le 1\) and \(a\) and \(b\) are constants.
Mathematics Subject Classification ID: 76M60
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7349550
zbMATH Keywords: power series expansion method
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: symmetry group
zbMATH Keywords: Lie group
Wikidata QID: Q115243663
reviewed by: Daniel Beltiţă
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6614231
OpenAlex ID: W3128356427
cites work: A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
cites work: Recent applications of fractional calculus to science and engineering
cites work: Fractional time evolution
cites work: Q5699297
cites work: Q3141902
cites work: Q4645340
cites work: Boundary value problems for hybrid differential equations with fractional order
cites work: A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow
cites work: A fractional variational iteration method for solving fractional nonlinear differential equations
cites work: Solution of fractional integro-differential equations by using fractional differential transform method
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: Exponential rational function method for space–time fractional differential equations
cites work: Homotopy perturbation method for nonlinear partial differential equations of fractional order
cites work: Analytical solution for the space fractional diffusion equation by two-step Adomian decomposition method
cites work: Nonlocal telegraph equation in frame of the conformable time-fractional derivative
cites work: Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation
cites work: Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
cites work: Invariant analysis of time fractional generalized Burgers and Korteweg-de Vries equations
cites work: Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann-Liouville derivative
cites work: Lie symmetry analysis, exact solutions and conservation laws for the time fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation
cites work: Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
cites work: Q3715336
cites work: Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation
cites work: Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method
cites work: The use of Adomian decomposition method for solving the regularized long-wave equation
cites work: Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
cites work: Q4627548
cites work: Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel
cites work: Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
description: scientific article; zbMATH DE number 7349550