Symmetries of Integro-Differential Equations: A Survey of Methods Illustrated by the Benney Equations

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dc.creatorIbragimov, N. H.
dc.creatorKovalev, V. F.
dc.creatorPustovalov, V. V.
dc.date2001-09-14
dc.date2002-08-26
dc.date.accessioned2026-07-07T04:28:39Z
dc.date.available2026-07-07T04:28:39Z
dc.descriptionClassical Lie group theory provides a universal tool for calculating symmetry groups for systems of differential equations. However Lie's method is not as much effective in the case of integral or integro-differential equations as well as in the case of infinite systems of differential equations. This paper is aimed to survey the modern approaches to symmetries of integro-differential equations. As an illustration, an infinite symmetry Lie algebra is calculated for a system of integro-differential equations, namely the well-known Benney equations. The crucial idea is to look for symmetry generators in the form of canonical Lie-Backlund operators.
dc.descriptionLatex2e, 21 pages, typos corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0109012
dc.identifierhttp://arxiv.org/abs/math-ph/0109012
dc.identifierNonlinear Dynamics, 28(2) (2002) 135-153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56864
dc.subjectMathematical Physics
dc.subject45K05; 70Gxx:70G65; 76Mxx:76M60
dc.titleSymmetries of Integro-Differential Equations: A Survey of Methods Illustrated by the Benney Equations
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