Results 11 to 20 of about 2,411,038 (347)
Lie symmetries of a Painleve-type equation without Lie symmetries
Journal of Nonlinear Mathematical Physics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
NUCCI, Maria Clara
openaire +6 more sources
LIE SYMMETRIES FOR LATTICE EQUATIONS [PDF]
Nonlinear Evolution Equations and Dynamical Systems, 2003 Summary: Lie symmetries has been introduced by Sophus Lie to study differential equations. It has been one of the most efficient way for obtaining exact analytic solution of differential equations. Here we show how one can extend this technique to the case of differential difference and difference equations.
LEVI, Decio
openaire +4 more sources
Deformation of Lie derivative and μ-symmetries
Journal of Physics A: Mathematical and Theoretical, 2007 We introduce, in the spirit of Witten's gauging of exterior differential, a deformed Lie derivative that allows a geometrical interpretation of λ- and μ-symmetries, in complete analogy with standard symmetries. The case of variational symmetries (both for ODEs and for PDEs) is also considered in this approach, leading to λ- and μ-conservation laws.
P. Morando, MORANDO, Paola
openaire +2 more sources
Nonlinear potential filtration equation and global actions of Lie symmetries [PDF]
Electronic Journal of Differential Equations, 2009 The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
doaj +3 more sources
Lie symmetries for Lie systems: Applications to systems of ODEs and PDEs [PDF]
Applied Mathematics and Computation, 2014 A Lie system is a nonautonomous system of first-order differential equations admitting a superposition rule, i.e., a map expressing its general solution in terms of a generic family of particular solutions and some constants.
P. G. Estévez +3 more
semanticscholar +4 more sources
Lie symmetries and superintegrability in quantum mechanics
Physics of Atomic Nuclei, 2002 Starting from the structure of the higher order Lie symmetries of the Schrodinger equation in the Euclidean plane E2, we establish, in the case of first-and second-order symmetries, the relations between separation of variables and superintegrable systems in quantum mechanics.
Sheftel, MB, Tempesta, P, Winternitz, P
openaire +3 more sources
Quantum Algebras and Integrable Boundaries in AdS/CFT [PDF]
, 2012 This thesis studies quantum integrable structures such as Yangians and quantum affine algebras that arise in and are inspired by the AdS/CFT duality, with a primary emphasis on the exploration of integrable boundaries deeply hidden in the duality.
Regelskis, Vidas
core +5 more sources
Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]
AUT Journal of Mathematics and Computing, 2021 In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE.
Mehdi Nadjafikhah, Omid Chekini
doaj +1 more source
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
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