Results 31 to 40 of about 710,480 (295)
Birkhoff’s Theorem and Lie Symmetry Analysis
Journal of High Energy Physics, Gravitation and Cosmology, 2021 Three dimensional space is said to be spherically symmetric if it admits SO(3) as the group of isometries. Under this symmetry condition, the Einsteins Field equations for vacuum, yields the Schwarzschild Metric as the unique solution, which essentially is the statement of the well known Birkhoffs Theorem.
Mukherjee, Avijit, Roy, Subham B
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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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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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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.
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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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Partial Differential Equations in Applied Mathematics, 2023 We consider a general class of systems of three partial differential equations and we provide restrictions on the form of Lie symmetry operators admitted by such systems. When these restrictions are known in advance, the symmetry analysis becomes simpler.
K. Charalambous +2 more
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Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Generalized Gross-Neveu Universality Class with Non-Abelian Symmetry [PDF]
, 2021 We use the large N critical point formalism to compute d-dimensional critical exponents at several orders in 1/N in an Ising Gross–Neveu universality class where the core interaction includes a Lie group generator.
Gracey, John A +3 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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