A class of nonlinear wave equations containing the continuous Toda case

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dc.creatorAlfinito, E.
dc.creatorCauso, M. S.
dc.creatorProfilo, G.
dc.creatorSoliani, G.
dc.date1996-10-25
dc.date.accessioned2026-07-07T10:58:48Z
dc.date.available2026-07-07T10:58:48Z
dc.descriptionWe consider a nonlinear field equation which can be derived from a binomial lattice as a continuous limit. This equation, containing a perturbative friction-like term and a free parameter $γ$, reproduces the Toda case (in absence of the friction-like term) and other equations of physical interest, by choosing particular values of $γ$. We apply the symmetry and the approximate symmetry approach, and the prolongation technique. Our main purpose is to check the limits of validity of different analytical methods in the study of nonlinear field equations. We show that the equation under investigation with the friction-like term is characterized by a finite-dimensional Lie algebra admitting a realization in terms of boson annhilation and creation operators. In absence of the friction-like term, the equation is linearized and connected with equations of the Bessel type. Examples of exact solutions are displayed, and the algebraic structure of the equation is discussed.
dc.descriptionLatex file + [equations.sty], 22 pp
dc.identifierhttps://arxiv.org/abs/hep-th/9610200
dc.identifierhttp://arxiv.org/abs/hep-th/9610200
dc.identifierJ.Phys.A31:2173-2189,1998
dc.identifierdoi:10.1088/0305-4470/31/9/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187233
dc.subjectHigh Energy Physics - Theory
dc.titleA class of nonlinear wave equations containing the continuous Toda case
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