Non-local Symmetries of Nonlinear Field Equations: an Algebraic Approach

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dc.creatorLeo, M.
dc.creatorLeo, R. A.
dc.creatorSoliani, G.
dc.creatorTempesta, P.
dc.date1999-11-16
dc.date.accessioned2026-07-07T04:27:20Z
dc.date.available2026-07-07T04:27:20Z
dc.descriptionAn algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonlinear field equations. The method is based on the use of an infinite-dimensional subalgebra of the prolongation algebra $L$ associated with the equations under consideration. Our approach, which is applied by way of example to the Dym and the Korteweg-de Vries equations, allows us to obtain a general formula for the infinitesimal operator of the non-local symmetries expressed in terms of elements of $L$. The method could be exploited to investigate the symmetry properties of other nonlinear field equations possessing nontrivial prolongations.
dc.description26 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/9911122
dc.identifierhttp://arxiv.org/abs/hep-th/9911122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56381
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNon-local Symmetries of Nonlinear Field Equations: an Algebraic Approach
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