Symmetry Properties of a Generalized Korteweg-de Vires Equation and some Explicit Solutions

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dc.creatorBracken, Paul
dc.date2006-07-30
dc.date.accessioned2026-07-07T07:20:35Z
dc.date.available2026-07-07T07:20:35Z
dc.descriptionThe symmetry group method is applied to a generalized Korteweg-de Vries equation and several classes of group invarint solution for it are obtained by means of this technique. Polynomial, trigonometric and elliptic function solutions can be calculated. It is shown that this generalized equation can be reduced to a first-order equation under a particular second-order differential constraint which resembles a Schrodinger equation. For a particular instance in which the constraint is satisfied, the generalized equation is reduced to a quadrature. A condition which ensures that the reciprocal of a solution is also a solution is given, and a first integral to this constraint is found.
dc.identifierhttps://arxiv.org/abs/math-ph/0607070
dc.identifierhttp://arxiv.org/abs/math-ph/0607070
dc.identifierInt J Mathematics and Mathematical Sciences 2005:13, 2159-2173 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115000
dc.subjectMathematical Physics
dc.titleSymmetry Properties of a Generalized Korteweg-de Vires Equation and some Explicit Solutions
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