Lucas polynomials and a standard Lax representation for the polytropic gas dynamics
Lett.Math.Phys.60:197-209,2002 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...
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| creator | Constandache, A Das, Ashok Toppan, F |
| description | Lett.Math.Phys.60:197-209,2002 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. |
| doi_str_mv | 10.48550/arxiv.hep-th/0110097 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.hep-th/0110097</identifier><language>eng</language><subject>Mathematics - Number Theory ; Physics - Exactly Solvable and Integrable Systems ; Physics - High Energy Physics - Theory</subject><creationdate>2001-10</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/hep-th/0110097$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.hep-th/0110097$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1023/A:1016262206639$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Constandache, A</creatorcontrib><creatorcontrib>Das, Ashok</creatorcontrib><creatorcontrib>Toppan, F</creatorcontrib><title>Lucas polynomials and a standard Lax representation for the polytropic gas dynamics</title><description>Lett.Math.Phys.60:197-209,2002 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.</description><subject>Mathematics - Number Theory</subject><subject>Physics - Exactly Solvable and Integrable Systems</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNjrEKwjAURbM4iPoJwgPntila1FkUh266h0ebmkCbhJentH9vKH6A01nuPRwhtqXMD6eqkgXSaD-50SFjU8iylPJ8XIpH_W4wQvD95PxgsY-ArgWEyIlILdQ4AulAOmrHyNY76DwBGz2_mHywDbySpJ0cDraJa7HokkhvflyJ3e36vNyzOUEFsgPSpFKKYqN-Kfv_Vl_Fb0Rc</recordid><startdate>20011010</startdate><enddate>20011010</enddate><creator>Constandache, A</creator><creator>Das, Ashok</creator><creator>Toppan, F</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20011010</creationdate><title>Lucas polynomials and a standard Lax representation for the polytropic gas dynamics</title><author>Constandache, A ; Das, Ashok ; Toppan, F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_hep_th_01100973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Mathematics - Number Theory</topic><topic>Physics - Exactly Solvable and Integrable Systems</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Constandache, A</creatorcontrib><creatorcontrib>Das, Ashok</creatorcontrib><creatorcontrib>Toppan, F</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Constandache, A</au><au>Das, Ashok</au><au>Toppan, F</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lucas polynomials and a standard Lax representation for the polytropic gas dynamics</atitle><date>2001-10-10</date><risdate>2001</risdate><abstract>Lett.Math.Phys.60:197-209,2002 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.</abstract><doi>10.48550/arxiv.hep-th/0110097</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Number Theory Physics - Exactly Solvable and Integrable Systems Physics - High Energy Physics - Theory |
| title | Lucas polynomials and a standard Lax representation for the polytropic gas dynamics |
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