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Recursions of Symmetry Orbits and Reduction without Reduction [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider a four-dimensional PDE possessing partner symmetries mainly on the example of complex Monge-Ampère equation (CMA). We use simultaneously two pairs of symmetries related by a recursion relation, which are mutually complex conjugate for CMA ...
Andrei A. Malykh, Mikhail B. Sheftel
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Symmetry reduction due to gallium substitution in the garnet Li6.43(2)Ga0.52(3)La2.67(4)Zr2O12 [PDF]
Acta Crystallographica Section E: Crystallographic Communications, 2016 Single-crystal structure refinements on lithium lanthanum zirconate (LLZO; Li7La3Zr2O12) substituted with gallium were successfully carried out in the cubic symmetry space group I\overline{4}3d.
Lars Robben +3 more
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Efficient Symmetry Reduction and the Use of State Symmetries for Symbolic Model Checking [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 One technique to reduce the state-space explosion problem in temporal logic model checking is symmetry reduction. The combination of symmetry reduction and symbolic model checking by using BDDs suffered a long time from the prohibitively large BDD for ...
Christian Appold
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Pracì Mìžnarodnogo Geometričnogo Centru, 2021 We study the relationship between structural properties of the two-dimensional nonconjugate subalgebras of the same rank of the Lie algebra of the Poincaré group P(1,4) and the properties of reduced equations for the (1+3)-dimensional homogeneous Monge ...
Vasyl Fedorchuk, Volodymyr Fedorchuk
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Communications in Analysis and Mechanics, 2023 We study the reduction by symmetry for optimality conditions in optimal control problems of left-invariant affine multi-agent control systems, with partial symmetry breaking cost functions for continuous-time and discrete-time systems.
Efstratios Stratoglou +2 more
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Journal of Taibah University for Science, 2022 In this paper, a modified Korteweg–de Vries equation with a quartic nonlinear term in two-electron temperature plasmas is studied. Firstly, the symmetries are constructed using the generalized symmetry method.
Guosheng Tang, Gangwei Wang, Zhijun Wang
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New Reductions of the Unsteady Axisymmetric Boundary Layer Equation to ODEs and Simpler PDEs
Mathematics, 2022 Reductions make it possible to reduce the solution of a PDE to solving an ODE. The best known are the traveling wave, self-similar and symmetry reductions.
Alexander V. Aksenov, Anatoly A. Kozyrev
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Mathematical Biosciences and Engineering, 2022 We study symmetry reductions of nonlinear partial differential equations that can be used for describing diffusion processes in heterogeneous medium. We find ansatzes reducing these equations to systems of ordinary differential equations.
Ivan Tsyfra , Wojciech Rzeszut
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Enumerating all bilocal Clifford distillation protocols through symmetry reduction [PDF]
Quantum, 2022 Entanglement distillation is an essential building block in quantum communication protocols. Here, we study the class of near-term implementable distillation protocols that use bilocal Clifford operations followed by a single round of communication.
Sarah Jansen +4 more
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The symmetry reduction of variational integrals [PDF]
Mathematica Bohemica, 2018 The Routh reduction of cyclic variables in the Lagrange function and the Jacobi-Maupertuis principle of constant energy systems are generalized. The article deals with one-dimensional variational integral subject to differential constraints, the Lagrange
Václav Tryhuk, Veronika Chrastinová
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