Results 11 to 20 of about 33,448 (315)

Generalized Lie symmetries and almost regular Lagrangians: a link between symmetry and dynamics [PDF]

Journal of Physics Communications, 2023
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the evolution of dynamical systems is determined. It is found that if the action has a generalized Lie symmetry, then the Lagrangian is necessarily singular ...
Achilles D Speliotopoulos
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Note on Lie Point Symmetries of Burgers Equations

Trends in Computational and Applied Mathematics, 2010
. In this note we study the Lie point symmetries of a class of evolution equations and obtain a group classification of these equations. We also identify the classical Lie algebras that the symmetry Lie algebras are isomorphic to.
I. L. Freire
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Invariant solutions, lie symmetry analysis, bifurcations and nonlinear dynamics of the Kraenkel-Manna-Merle system with and without damping effect. [PDF]

Sci Rep
Aldwoah K, Ahmad S, Alqarni F, Younis J, Hashim HE, Hleili M.   +5 more
europepmc   +3 more sources

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
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Random Lie-point symmetries [PDF]

Journal of Nonlinear Mathematical Physics, 2021
We introduce the notion of a random symmetry. It consists of taking the action given by a deterministic flow that maintains the solutions of a given differential equation invariant and replacing it with a stochastic flow. This generates a random action, which we call a random symmetry.
Luis Roberto Lucinger, Pedro José Catuogno   +1 more
openaire   +1 more source

Lie algebra classification for the Chazy equation and further topics related with this algebra.

Revista Politécnica, 2021
It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras.
Yeisson Alexis Acevedo-Agudelo, Danilo Andrés García-Hernández, Oscar Mario Londoño-Duque, Gabriel Ignacio Loaiza-Ossa   +3 more
doaj   +1 more source

Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein. [PDF]

PLoS ONE, 2013
Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells.
Jen-Cheng Wang, Pei-Yu Wang, Hung-Ing Chen, Kai-Ling Wu, Li-Mei Pai, Tzer-En Nee   +5 more
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Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+1)-dimensional rdDym equation using the Lie symmetry approach

Results in Physics, 2021
The present study is devoted to obtaining some exact generalized solutions and new solitary wave solutions for a (2+1)-dimensional nonlinear rth dispersionless Dym (rdDym) equation by utilizing the Lie symmetry analysis. The Lie infinitesimals, geometric
Sachin Kumar, Hassan Almusawa, Amit Kumar   +2 more
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Finding nonlocal Lie symmetries algorithmically

Chaos, Solitons & Fractals, 2023
Here we present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs). This method can compute Lie symmetries (point symmetries, dynamical symmetries and non-local symmetries) algorithmically.
L.G.S. Duarte, L.A.C.P. da Mota, A.F. Rocha   +2 more
openaire   +2 more sources

Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source

Entropy, 2020
A conditional Lie-Bäcklund symmetry method and differential constraint method are developed to study the radially symmetric nonlinear convection-diffusion equations with source.
Lina Ji, Rui Wang
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