Results 31 to 40 of about 437,825 (261)
AIMS MathematicsIn this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben +3 more
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Laplace equations, conformal superintegrability and B\^ocher contractions [PDF]
, 2015 Quantum superintegrable systems are solvable eigenvalue problems. Their solvability is due to symmetry, but the symmetry is often "hidden". The symmetry generators of 2nd order superintegrable systems in 2 dimensions close under commutation to define ...
Kalnins, E., Miller Jr, W., Subag, E.
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Disconnected 0-form and 2-group symmetries
Journal of High Energy Physics, 2023 Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
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Results in Physics, 2021 This paper employs the Lie symmetry analysis to investigate novel closed-form solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation.
Sachin Kumar +4 more
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Classical and Nonclassical symmetries of the (2+1)-dimensional Kuramoto-Sivashinsky equation
, 2011 In this paper, we have studied the problem of determining the largest possible set of symmetries for an important example of nonlinear dynamical system: the Kuramoto-Sivashinsky (K-S) model in two spatial and one temporal dimensions.
Ahangari, Fatemeh, Nadjafikhah, Mehdi
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Nonlocal Symmetries of Systems of Evolution Equations
Advances in Mathematical Physics, 2011 We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of
Renat Zhdanov
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Results in Physics, 2019 This paper obtains optical soliton solutions with parabolic law nonlinearity coupled in nonlocal nonlinear medium. Lie symmetry analysis coupled with modified G′/G-expansion scheme retrieves these solitons.
Anupma Bansal +5 more
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LIE SYMMETRIES FOR LATTICE EQUATIONS
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.
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Differential Galois Theory and Lie Symmetries [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 We study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetries can be seen as solutions of a hierarchy of linear differential systems.
Blázquez-Sanz, David +2 more
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AIMS MathematicsIn this paper, we consider the symmetry algebra of the geodesic equations of the canonical connection on a Lie group. We mainly consider the solvable indecomposable six-dimensional Lie algebras with co-dimension two abelian nilradical that have an ...
Nouf Almutiben +3 more
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