Results 1 to 10 of about 23,641,221 (298)
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation. [PDF]
PLoS 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 +3 more sources
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 +2 more
doaj +2 more sources
Lie Symmetry Analysis of Kudryashov‐Sinelshchikov Equation [PDF]
Mathematical 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 +2 more sources
Lie Symmetry Analysis of the Hopf Functional-Differential Equation [PDF]
Symmetry, 2015 In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of Oberlack and Wacławczyk (2006, Arch. Mech. 58, 597), (2013, J. Math. Phys. 54, 072901), where the extended Lie symmetry analysis is performed in the Fourier space.
Daniel D. Janocha +2 more
openaire +3 more sources
Lie symmetry analysis of the Hanta-epidemic systems
Journal of Mathematics and Computer Science, 2017 Summary: We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with derivatives of fractional order, we investigate the model also by using the Lie symmetry method.
YAKIT ONGUN, Mevlüde, Kocabiyik, Mehmet
openaire +6 more sources
Lie Symmetry Analysis for the SIS Model of Epidemiology [PDF]
Proceedings, 2018 A system of three nonlinear ordinary differential ...
Mokiri Nkwana, Jacob Matshwenyego Manale
doaj +2 more sources
Lie group analysis and its invariants for the class of multidimensional nonlinear wave equations [PDF]
Nonlinear AnalysisWe systematically classify Lie symmetries of a class of (2 + 1)-dimensional nonlinear wave equations. Our methodology proposes a symmetry classification for Lie generators applicable to four distinct cases inherent within this equation.
Akhtar Hussain +3 more
doaj +2 more sources
A Lie Symmetry Analysis of the Caldeira-Leggett Model
Open Systems & Information Dynamics, 2010 An important model in the theory of open quantum systems is the Caldeira-Leggett quantum Brownian motion model for the behaviour of a massive quantum particle weakly interacting with a bath of harmonic oscillators. The model is formulated in terms of a (1 + 2) dimensional partial differential equation (PDE) for the reduced density matrix of the ...
Viroshan Naicker, Francesco Petruccione
openaire +4 more sources
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system [PDF]
Boundary 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
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