Results 11 to 20 of about 364,726 (278)

Review of symbolic software for lie symmetry analysis

Mathematical 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 A Hereman
openaire   +4 more sources

Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras

Results in Physics, 2023
The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is discussed in this research. In the onset, we derive the geometric vector fields using the classical Lie symmetry technique. Here, we have a four-dimensional Lie algebra.
A. Hussain, M. Usman, F.D. Zaman, S.M. Eldin   +3 more
doaj   +3 more sources

Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation

Results in Physics, 2016
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar, Yakup Yıldırım, Chaudry Masood Khalique   +2 more
doaj   +3 more sources

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
doaj   +1 more source

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
doaj   +1 more source

A study of Bogoyavlenskii’s (2+1)-dimensional breaking soliton equation: Lie symmetry, dynamical behaviors and closed-form solutions

Results in Physics, 2021
This paper employs the Lie symmetry analysis to investigate novel closed-form solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation.
Sachin Kumar, Hassan Almusawa, Shubham Kumar Dhiman, M.S. Osman, Amit Kumar   +4 more
doaj   +1 more source

Lie Symmetry Analysis of C1m,a,b Partial Differential Equations

Advances in Mathematical Physics, 2021
In this article, we discussed the Lie symmetry analysis of C1m,a,b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions ...
Hengtai Wang, Aminu Ma’aruf Nass, Zhiwei Zou   +2 more
doaj   +1 more source

A new (3+1) dimensional Hirota bilinear equation: Painlavé integrability, Lie symmetry analysis, and conservation laws

Journal of Taibah University for Science, 2022
This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
doaj   +1 more source

Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021
In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli, Maria Paola Speciale   +1 more
doaj   +1 more source

On the form of Lie symmetries of systems with three pdes: The examples of two variable coefficient Hirota Satsuma systems

Partial Differential Equations in Applied Mathematics, 2023
We consider a general class of systems of three partial differential equations and we provide restrictions on the form of Lie symmetry operators admitted by such systems. When these restrictions are known in advance, the symmetry analysis becomes simpler.
K. Charalambous, S. Kontogiorgis, C. Sophocleous   +2 more
doaj   +1 more source