Results 81 to 90 of about 111,509 (220)

Hidden and Not So Hidden Symmetries

open access: yesJournal of Applied Mathematics, 2012
Hidden symmetries entered the literature in the late Eighties when it was observed that there could be gain of Lie point symmetry in the reduction of order of an ordinary differential equation. Subsequently the reverse process was also observed.
P. G. L. Leach   +2 more
doaj   +1 more source

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

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   +1 more source

FUNCTIONAL REALIZATIONS OF LIE ALGEBRAS AS NOETHER POINT SYMMETRIES OF SYSTEMS

open access: yesActa Polytechnica, 2017
Functional realizations of Lie algebras are applied to the problem of determining Lie and Noether point symmetries of Lagrangian systems in N dimensions, particularly in the plane.
Rutwig Campoamor-Stursberg
doaj   +1 more source

Correlated dynamics of immune network and sl(3, R) symmetry algebra

open access: yesComputational and Mathematical Biophysics
We observed the existence of periodic orbits in immune network under transitive solvable Lie algebra. In this article, we focus to develop condition of maximal Lie algebra for immune network model and use that condition to construct a vector field of ...
Dutta Ruma, Stan Aurel
doaj   +1 more source

Lie Optimal Solutions of Heat Transfer in a Liquid Film over an Unsteady Stretching Surface with Viscous Dissipation and an External Magnetic Field

open access: yesMaterials Proceedings
A lie point symmetry analysis of flow and heat transfer under the influence of an external magnetic field and viscous dissipation was previously conducted using a couple of lie point symmetries of the model.
Haris Ahmad   +4 more
doaj   +1 more source

New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled Burgers equation

open access: yesArab Journal of Basic and Applied Sciences, 2018
The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables.
Hengchun Hu, Yueyue Li
doaj   +1 more source

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