Equivalence transformations and differential invariants of a generalized cubic–quintic nonlinear Schrödinger equation with variable coefficients
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DOI: 10.1007/s11071-020-05940-9
Abstract: In this paper, a variable-coefficient cubic–quintic nonlinear Schrodinger equation involving five arbitrary real functions of space and time is analyzed from the point of view of symmetry analysis by using Lie’s invariance infinitesimal criterion. The… read more here.
Keywords: cubic quintic; differential invariants; variable coefficients; equivalence transformations ... See more keywords
Differential invariants for plane flows of inviscid fluids
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DOI: 10.1007/s13324-017-0169-5
Abstract: Algebras of symmetries and the corresponding algebras of differential invariants for plane flows of inviscid fluids are given. Their dependence on thermodynamical states of media are studied and a classification of thermodynamical states is given. read more here.
Keywords: plane flows; flows inviscid; invariants plane; differential invariants ... See more keywords
Differential invariants for spherical layer flows of inviscid fluids
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DOI: 10.1007/s13324-018-0274-0
Abstract: Symmetries and the corresponding algebras of differential invariants of inviscid fluids on a spherical layer are given. Their dependence on thermodynamical states of the medium is studied, and a classification of thermodynamical states is given. read more here.
Keywords: layer flows; differential invariants; invariants spherical; inviscid fluids ... See more keywords
Differential invariants of Einstein-Weyl structures in 3D
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DOI: 10.1016/j.geomphys.2018.05.011
Abstract: Abstract Einstein–Weyl structures on a three-dimensional manifold M are given by a system E of PDEs on sections of a bundle over M . This system is invariant under the Lie pseudogroup G of local… read more here.
Keywords: system; differential invariants; weyl structures; invariants einstein ... See more keywords
Differential invariants of Kundt spacetimes
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DOI: 10.1088/1361-6382/abff9c
Abstract: We find generators for the algebra of rational differential invariants for general and degenerate Kundt spacetimes and relate this to other approaches to the equivalence problem for Lorentzian metrics. Special attention is given to dimensions… read more here.
Keywords: invariants kundt; kundt spacetimes; differential invariants;
Differential Invariants of Linear Symplectic Actions
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DOI: 10.3390/sym12122023
Abstract: We consider the equivalence problem for symplectic and conformal symplectic group actions on submanifolds and functions of symplectic and contact linear spaces. This is solved by computing differential invariants via the Lie-Tresse theorem. read more here.
Keywords: symplectic actions; linear symplectic; invariants linear; differential invariants ... See more keywords