Results 11 to 20 of about 111,630 (280)

Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation

open access: yesMathematics, 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

Lie point symmetries and ODEs passing the Painlevé test [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
The Lie point symmetries of ordinary differential equations (ODEs) that are candidates for having the Painlev property are explored for ODEs of order $n =2, \dots ,5$. Among the 6 ODEs identifying the Painlev transcendents only $P_{III}$, $P_V$ and $P_{VI}$ have nontrivial symmetry algebras and that only for very special values of the parameters ...
Levi, D., Sekera, D., Winternitz, P.
openaire   +3 more sources

Symmetries of Ricci flows

open access: yesAdvances 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]

open access: yesAUT 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

Lie point symmetries of differential–difference equations [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2010
17 pages, 1 ...
LEVI, Decio, Winternitz P, Yamilov RI
openaire   +3 more sources

On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems

open access: yesMathematics, 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 access: yesOpen 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

Conservation Laws and Symmetry Reductions of the Hunter–Saxton Equation via the Double Reduction Method

open access: yesMathematical 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

Generalized Camassa–Holm Equations: Symmetry, Conservation Laws and Regular Pulse and Front Solutions

open access: yesMathematics, 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

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