Results 11 to 20 of about 3,071 (260)
Advances in Nonlinear Analysis, 2023 In the present work, we find the Lie point symmetries of the Ricci flow on an n-dimensional manifold, and we introduce a method in order to reutilize these symmetries to obtain the Lie point symmetries of particular metrics.
López Enrique +2 more
doaj +1 more source
On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems
Mathematics, 2022 The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
doaj +1 more source
Lie point symmetries of differential–difference equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 17 pages, 1 ...
LEVI, Decio, Winternitz P, Yamilov RI
openaire +3 more sources
Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
doaj +1 more source
Mathematical and Computational Applications, 2023 This study investigates via Lie symmetry analysis the Hunter–Saxton equation, an equation relevant to the theoretical analysis of nematic liquid crystals.
Molahlehi Charles Kakuli +2 more
doaj +1 more source
Lie point symmetries for reduced Ermakov systems [PDF]
Physics Letters A, 2004 Reduced Ermakov systems are defined as Ermakov systems restricted to the level surfaces of the Ermakov invariant. The condition for Lie point symmetries for reduced Ermakov systems is solved yielding four infinite families of systems. It is shown that SL(2,R) always is a group of point symmetries for the reduced Ermakov systems.
Haas, F., Goedert, J.
openaire +3 more sources
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.
openaire +2 more sources
Mathematics, 2021 In this paper, we consider a member of an integrable family of generalized Camassa–Holm (GCH) equations. We make an analysis of the point Lie symmetries of these equations by using the Lie method of infinitesimals.
Maria Santos Bruzón +2 more
doaj +1 more source
Lie point symmetries and first integrals: The Kowalevski top [PDF]
Journal of Mathematical Physics, 2003 We show how the Lie group analysis method can be used in order to obtain first integrals of any system of ordinary differential equations. The method of reduction/increase of order developed by Nucci [J. Math. Phys. 37, 1772–1775 (1996)] is essential. Noether’s theorem is neither necessary nor considered.
Marcelli M., NUCCI, Maria Clara
openaire +6 more sources
Lie-Point Symmetries and Backward Stochastic Differential Equations [PDF]
Symmetry, 2019 In this paper, we introduce the Lie-point symmetry method into backward stochastic differential equation and forward–backward stochastic differential equations, and get the corresponding deterministic equations.
Na Zhang, Guangyan Jia
openaire +5 more sources