Results 31 to 40 of about 3,071 (260)
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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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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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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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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Open Physics, 2017 For a generalized KdV-Burgers-Kuramoto equation we have studied conservation laws by using the multiplier method, and investigated its first-level and second-level potential systems. Furthermore, the Lie point symmetries of the equation and the Lie point
Bruzón Maria S. +3 more
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Journal of Function Spaces, 2021 In this paper, the problem of constructing the Lie point symmetries group of the nonlinear partial differential equation appeared in mathematical physics known as the generalized KdV-Like equation is discussed.
Maria Ihsane El Bahi, Khalid Hilal
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A Group Theory Approach towards Some Rational Difference Equations
Journal of Mathematics, 2019 A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
Mensah Folly-Gbetoula +2 more
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Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models
Advances in Difference Equations, 2018 In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
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Lie Point Symmetry Data Augmentation for Neural PDE Solvers
CoRR, 2022 Published at ICML 2022, Github: https://github.com/brandstetter-johannes ...
Johannes Brandstetter +2 more
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