Results 1 to 10 of about 3,006 (218)
Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P. Márquez, María S. Bruzón
doaj +3 more sources
Advances in Nonlinear Analysis, 2023 In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique +2 more
doaj +1 more source
Lie group analysis for short pulse equation [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
doaj +1 more source
On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems
Mathematics, 2022 The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
doaj +1 more source
Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
doaj +1 more source
Mathematical and Computational Applications, 2023 This study investigates via Lie symmetry analysis the Hunter–Saxton equation, an equation relevant to the theoretical analysis of nematic liquid crystals.
Molahlehi Charles Kakuli +2 more
doaj +1 more source
Mathematics, 2021 In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals.
Maria Santos Bruzón +2 more
doaj +1 more source
Mathematics, 2022 We obtain similarity transformations to reduce a system of partial differential equations representing the unsteady fluid flow and heat transfer in a boundary layer with heat generation/absorption using Lie symmetry algebra.
Muhammad Bilal +5 more
doaj +1 more source
Mathematics, 2016 We perform a classification of the Lie point symmetries for the Black-Scholes-Merton Model for European options with stochastic volatility, σ, in which the last is defined by a stochastic differential equation with an Orstein-Uhlenbeck term.
Andronikos Paliathanasis +3 more
doaj +1 more source
Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation
Discrete Dynamics in Nature and Society, 2012 We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given.
Hongwei Yang +3 more
doaj +1 more source