Conservation laws of generalized higher Burgers and linear evolution equations

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dc.creatorIgonin, Sergei
dc.date2002-01-10
dc.date.accessioned2026-07-07T05:33:50Z
dc.date.available2026-07-07T05:33:50Z
dc.descriptionBy the Cole-Hopf transformation, with any linear evolution equation in 1+1 dimensions a generalized Burgers equation is associated. We describe local conservation laws of these equations. It turns out that any generalized Burgers equation has only one conservation law, while a linear evolution equation with constant coefficients has an infinite number of (x,t)-independent conservation laws iff the equation involves only odd order terms and, therefore, is bi-Hamiltonian.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/nlin/0201016
dc.identifierhttp://arxiv.org/abs/nlin/0201016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80145
dc.subjectExactly Solvable and Integrable Systems
dc.titleConservation laws of generalized higher Burgers and linear evolution equations
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