Nonclassical symmetries as special solutions of heir-equations

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dc.creatorNucci, M. C.
dc.date2000-11-03
dc.date2003-08-31
dc.date.accessioned2026-07-07T05:33:08Z
dc.date.available2026-07-07T05:33:08Z
dc.descriptionIn (Nucci M.C. 1994, Physica D 78 p.124), we have found that iterations of the nonclassical symmetries method give rise to new nonlinear equations, which inherit the Lie point symmetry algebra of the given equation. In the present paper, we show that special solutions of the right-order heir-equation correspond to classical and nonclassical symmetries of the original equations. An infinite number of nonlinear equations which possess nonclassical symmetries are derived.
dc.identifierhttps://arxiv.org/abs/nlin/0011008
dc.identifierhttp://arxiv.org/abs/nlin/0011008
dc.identifierJ. Math. Anal. Appl. 279 (2003) pp. 168-179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79895
dc.subjectExactly Solvable and Integrable Systems
dc.titleNonclassical symmetries as special solutions of heir-equations
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