Group Analysis of Variable Coefficient Diffusion-Convection Equations. IV. Potential Symmetries

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dc.creatorIvanova, N. M.
dc.creatorPopovych, R. O.
dc.creatorSophocleous, C.
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:38:05Z
dc.date.available2026-07-07T08:38:05Z
dc.descriptionThis paper completes investigation of symmetry properties of nonlinear variable coefficient diffusion-convection equations of the form $f(x)u_t=(g(x)A(u)u_x)_x+h(x)B(u)u_x$. Potential symmetries of equations from the considered class are found and the connection of them with Lie symmetries of diffusion-type equations is shown. Exact solutions of the Fujita--Storm equation $u_t=(u^{-2}u_x)_x$ are constructed.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0710.4251
dc.identifierhttp://arxiv.org/abs/0710.4251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140599
dc.subjectMathematical Physics
dc.subject35A30; 35K57; 35K05
dc.titleGroup Analysis of Variable Coefficient Diffusion-Convection Equations. IV. Potential Symmetries
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