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Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]

open access: yesCommun Math Phys
Dorigoni D   +7 more
europepmc   +1 more source

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?polynomials up to order 18?for the same system.
M.C. Nucci, S. Post
openaire   +1 more source

Lie Symmetries of Ishimori Equation

Communications in Theoretical Physics, 2013
Summary: The Ishimori equation is one of the most important (2+1)-dimensional integrable models, which is an integrable generalization of (1+1)-dimensional classical continuous Heisenberg ferromagnetic spin equations. Based on the importance of Lie symmetries in analysis of differential equations, in this paper we derive Lie symmetries for the Ishimori
openaire   +1 more source

Symmetry in Lie optics

Annals of Physics, 1986
Optical systems are investigated with respect to their symmetries. Special emphasis is paid to refracting surfaces, which have no strict equivalents in mechanics. The \({\mathfrak so}(3)\)-symmetry of a spherical surface is discussed which allows the recursive calculation of its aberration coefficients. Explicit results are given for coefficients up to
openaire   +2 more sources

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