Lucas polynomials and a standard Lax representation for the polytropic gas dynamics

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dc.creatorConstandache, A.
dc.creatorDas, Ashok
dc.creatorToppan, F.
dc.date2001-10-10
dc.date.accessioned2026-07-07T11:31:56Z
dc.date.available2026-07-07T11:31:56Z
dc.descriptionA standard Lax representation for the polytropic gas dynamics is derived by exploiting various properties of the Lucas and Fibonacci polynomials. The two infinite sets of conserved charges are derived from this representation and shown to coincide with the ones derived from the known non-standard representation. The same Lax function is shown to also give the standard Lax description for the elastic medium equations. In addition, some results on possible dispersive extensions of such models are presented.
dc.description17 pages, LaTex
dc.identifierhttps://arxiv.org/abs/hep-th/0110097
dc.identifierhttp://arxiv.org/abs/hep-th/0110097
dc.identifierLett.Math.Phys.60:197-209,2002
dc.identifierdoi:10.1023/A:1016262206639
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197434
dc.subjectHigh Energy Physics - Theory
dc.subjectNumber Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleLucas polynomials and a standard Lax representation for the polytropic gas dynamics
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