On the Classification of Scalar Non-Polynomial Evolution Equations: Quasilinearity

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dc.creatorBilge, Ayse Humeyra
dc.date2004-03-17
dc.date.accessioned2026-07-07T05:35:25Z
dc.date.available2026-07-07T05:35:25Z
dc.descriptionWe prove that, for $m\ge 7$, scalar evolution equations of the form $u_t=F(x,t,u,...,u_m)$ which admit a nontrivial conserved density of order $m+1$ are linear in $u_m$. The existence of such conserved densities is a necesary condition for integrability in the sense of admitting a formal symmetry, hence integrable scalar evolution equations of order $m\ge 7$ are quasilinear.
dc.description15 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0403034
dc.identifierhttp://arxiv.org/abs/nlin/0403034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80691
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn the Classification of Scalar Non-Polynomial Evolution Equations: Quasilinearity
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