2001/10/10 by A. Constandache, Ashok Das, F. Toppan · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #hep-th #math.NT #nlin.SI
paper · pdf · doi:10.1023/a:1016262206639
published as Lett.Math.Phys.60:197-209,2002 · 17 pages, LaTex
arxiv created 2001/10/10 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A 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.