Results 31 to 40 of about 111,509 (220)
Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry
Abstract and Applied Analysis, 2013 By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. It is well known that there are three classes of linear
K. S. Mahomed, E. Momoniat
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Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
Journal of Applied Mathematics, 2007 A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term.
Raseelo J. Moitsheki
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Journal of Ocean Engineering and Science, 2022 In these analyses, we consider the time-fractional Fisher equation in two-dimensional space. Through the use of the Riemann-Liouville derivative approach, the well-known Lie point symmetries of the utilized equation are derived.
Rawya Al-Deiakeh +3 more
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Lie point symmetries and commuting flows for equations on lattices [PDF]
Journal of Physics A: Mathematical and General, 2002 Different symmetry formalisms for difference equations on lattices are reviewed and applied to perform symmetry reduction for both linear and nonlinear partial difference equations. Both Lie point symmetries and generalized symmetries are considered and applied to the discrete heat equation and to the integrable discrete time Toda lattice.
LEVI, Decio, Winternitz P.
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Lie Point Symmetry and Physics Informed Networks
, 2023 Symmetries have been leveraged to improve the generalization of neural networks through different mechanisms from data augmentation to equivariant architectures. However, despite their potential, their integration into neural solvers for partial differential equations (PDEs) remains largely unexplored.
Akhound-Sadegh, Tara +4 more
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On Lie Symmetries of Hyperbolic Model Metric of SL(n, R) Geometry
پژوهشهای ریاضی, 2020 Introduction Symmetries of an equation are closely related to conservation laws. Noether's theorem provides a method for finding conservation laws of differential equations arising from a known Lagrangian and having a known Lie symmetry.
Rohollah Bakhshandeh Chamazkoti
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Lie symmetries and reductions via invariant solutions of general short pulse equation
Frontiers in Physics, 2023 Around 1880, Lie introduced an idea of invariance of the partial differential equation (PDE) under one-parameter Lie group of transformation to find the invariant, similarity, or auto-model solutions.
Muhammad Mobeen Munir +2 more
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Advances in Difference Equations, 2019 We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions.
Yufeng Zhang, Na Bai, Hongyang Guan
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, 2009 In this second of the set of two papers on Lie symmetry analysis of a class of Li\'enard type equation of the form $\ddot {x} + f(x)\dot {x} + g(x)= 0$, where over dot denotes differentiation with respect to time and $f(x)$ and $g(x)$ are smooth ...
Ibragimov N. H. +7 more
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Lie point symmetries of difference equations and lattices [PDF]
Journal of Physics A: Mathematical and General, 2000 A method is presented for finding the Lie point symmetry transformations acting simultaneously on difference equations and lattices, while leaving the solution set of the corresponding difference scheme invariant. The method is applied to several examples.
Levi, D., Tremblay, S., Winternitz, P.
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