Symmetry classification of quasi-linear PDE's containing arbitrary functions

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dc.creatorCicogna, Giampaolo
dc.date2007-02-02
dc.date.accessioned2026-07-07T07:44:27Z
dc.date.available2026-07-07T07:44:27Z
dc.descriptionWe consider the problem of performing the preliminary "symmetry classification'' of a class of quasi-linear PDE's containing one or more arbitrary functions: we provide an easy condition involving these functions in order that nontrivial Lie point symmetries be admitted, and a "geometrical'' characterization of the relevant system of equations determining these symmetries. Two detailed examples will elucidate the idea and the procedure: the first one concerns a nonlinear Laplace-type equation, the second a generalization of an equation (the Grad-Schlüter-Shafranov equation) which is used in magnetohydrodynamics.
dc.description15 pages; to be published in Nonlinear Dynamics
dc.identifierhttps://arxiv.org/abs/math-ph/0702008
dc.identifierhttp://arxiv.org/abs/math-ph/0702008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123203
dc.subjectMathematical Physics
dc.subject22E70;35Q35
dc.titleSymmetry classification of quasi-linear PDE's containing arbitrary functions
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