Results 11 to 20 of about 4,249 (255)
Lie symmetries of a Painleve'-type equation without Lie symmetries
Journal of Nonlinear Mathematical Physics, 2008 We use a method inspired by the Jacobi last multiplier [M. C. Nucci, Jacobi last multiplier and Lie symmetries: a novel application of an old relationship, J. Nonlinear Math. Phys.
NUCCI, Maria Clara
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Lie Symmetries for Lattice Equations
Nonlinear Evolution Equations and Dynamical Systems, 2004 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.
LEVI, Decio
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Mathematics, 2021 This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory.
Almudena P Marquez, M S Bruzón
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Finding nonlocal Lie symmetries algorithmically
Chaos, Solitons & Fractals, 2023 Here we present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs). This method can compute Lie symmetries (point symmetries, dynamical symmetries and non-local symmetries) algorithmically.
da Mota, L. A. C. P. +2 more
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Deformation of Lie derivative and mu-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 lambda and mu-symmetries in complete analogy with standard symmetries. The case of variational symmetries
P. Morando, MORANDO, Paola
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Lie symmetries and superintegrability
Journal of Physics A: Mathematical and Theoretical, 2012 We show that a known superintegrable system in two-dimensional real Euclidean space (Post and Winternitz 2011 J. Phys. A: Math. Theor. 44 162001) can be transformed into a linear third-order equation: consequently we construct many autonomous integrals ...
M.C. Nucci, S. Post
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Nonlinear potential filtration equation and global actions of Lie symmetries
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
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Lie symmetries for systems of evolution equations
Journal of Geometry and Physics, 2018 The Lie symmetries for a class of systems of evolution equations are studied. The evolution equations are defined in a bimetric space with two Riemannian metrics corresponding to the space of the independent and dependent variables of the differential ...
Andronikos Paliathanasis +1 more
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Lie group analysis for short pulse equation [PDF]
AUT Journal of Mathematics and Computing, 2020 In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
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Lie Symmetry Analysis of the Aw–Rascle–Zhang Model for Traffic State Estimation
Mathematics, 2022 We extend our analysis on the Lie symmetries in fluid dynamics to the case of macroscopic traffic estimation models. In particular we study the Aw–Rascle–Zhang model for traffic estimation, which consists of two hyperbolic first-order partial ...
Andronikos Paliathanasis +1 more
doaj +1 more source