Results 1 to 10 of about 26,049 (163)

Review of symbolic software for lie symmetry analysis

open access: yesMathematical and Computer Modelling, 1997
The author gives an overview of existing software for Lie symmetry analysis of partial differential equations. After introducing into the methods and basic ideas the packages in MATHEMATICA, MAPLE, REDUCE, MACSYMA are listed and their abilities are discussed.
Willy Hereman
exaly   +3 more sources

Some more closed-form invariant solutions and dynamical behavior of multiple solitons for the (2+1)-dimensional rdDym equation using the Lie symmetry approach

open access: yesResults 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   +2 more
doaj   +3 more sources

Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation. [PDF]

open access: yesPLoS ONE, 2014
In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed.
Gang Wei Wang, Tian Zhou Xu, Tao Feng
doaj   +2 more sources

Lie Symmetry Analysis for the SIS Model of Epidemiology [PDF]

open access: yesProceedings, 2018
A system of three nonlinear ordinary differential ...
Mokiri Nkwana, Jacob Matshwenyego Manale
doaj   +2 more sources

Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system [PDF]

open access: yesBoundary Value Problems, 2017
The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras is derived by using Ibragimov’s method.
Yufeng Zhang, Zhonglong Zhao
doaj   +2 more sources

Analysis of non-linear Klein–Gordon equations using Lie symmetry

open access: yesApplied Mathematics Letters, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaudry Masood Khalique, Anjan Biswas
exaly   +2 more sources

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

Birkhoff’s Theorem and Lie Symmetry Analysis

open access: yesJournal of High Energy Physics, Gravitation and Cosmology, 2021
Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
openaire   +3 more sources

Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]

open access: yesMathematical Problems in Engineering, 2011
The Lie symmetry method is performed for the fifth‐order nonlinear evolution Kudryashov‐Sinelshchikov equation. We will find ones and two‐dimensional optimal systems of Lie subalgebras. Furthermore, preliminary classification of its group‐invariant solutions is investigated.
Nadjafikhah, Mehdi, Shirvani-Sh, Vahid
openaire   +1 more source

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

open access: yesPLoS 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   +5 more
doaj   +1 more source

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