Singularity Analysis of a Variant of the Painlev{\'e}--Ince Equation
We examine by singularity analysis an equation derived by reduction using Lie point symmetries from the Euler--Bernoulli Beam equation which is the Painlev\'{e}--Ince Equation with additional terms. The equation possesses the same leading-order behaviour and resonances as the Painlev\'{e}-...
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| creator | Halder, Amlan K Paliathanasis, Andronikos Leach, PGL |
| description | We examine by singularity analysis an equation derived by reduction using Lie
point symmetries from the Euler--Bernoulli Beam equation which is the
Painlev\'{e}--Ince Equation with additional terms. The equation possesses the
same leading-order behaviour and resonances as the Painlev\'{e}--Ince Equation
and has a Right Painlev\'{e} Series. However, it has no Left Painlev% \'{e}
Series. A conjecture for the existence of Left Painlev\'{e} Series for ordinary
differential equations is given. |
| doi_str_mv | 10.48550/arxiv.1906.00688 |
| format | Article |
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point symmetries from the Euler--Bernoulli Beam equation which is the
Painlev\'{e}--Ince Equation with additional terms. The equation possesses the
same leading-order behaviour and resonances as the Painlev\'{e}--Ince Equation
and has a Right Painlev\'{e} Series. However, it has no Left Painlev% \'{e}
Series. A conjecture for the existence of Left Painlev\'{e} Series for ordinary
differential equations is given.</description><identifier>DOI: 10.48550/arxiv.1906.00688</identifier><language>eng</language><subject>Mathematics - Classical Analysis and ODEs ; Mathematics - Mathematical Physics ; Physics - Exactly Solvable and Integrable Systems ; Physics - Mathematical Physics</subject><creationdate>2019-06</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1906.00688$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1906.00688$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Halder, Amlan K</creatorcontrib><creatorcontrib>Paliathanasis, Andronikos</creatorcontrib><creatorcontrib>Leach, PGL</creatorcontrib><title>Singularity Analysis of a Variant of the Painlev{\'e}--Ince Equation</title><description>We examine by singularity analysis an equation derived by reduction using Lie
point symmetries from the Euler--Bernoulli Beam equation which is the
Painlev\'{e}--Ince Equation with additional terms. The equation possesses the
same leading-order behaviour and resonances as the Painlev\'{e}--Ince Equation
and has a Right Painlev\'{e} Series. However, it has no Left Painlev% \'{e}
Series. A conjecture for the existence of Left Painlev\'{e} Series for ordinary
differential equations is given.</description><subject>Mathematics - Classical Analysis and ODEs</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Exactly Solvable and Integrable Systems</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz8tKAzEYBeBsuijVB3Bldq4yJpnJbVlq1UJBwdJVYfhz08A01ZlpcRDf3bZ2dThnceBD6IbRotJC0Htov9OhYIbKglKp9Rg9vKX8vm-gTf2ApxmaoUsd3kUMeH0cIfen0n8E_AopN-Hws7kLv4Qssgt4_rWHPu3yFRpFaLpwfckJWj3OV7Nnsnx5WsymSwJSacJZJZ0RVoGNvrJeqYp7Y1U0QZVRa-clcz4GDtZ4LpjRhkflIgWhPZOsnKDb_9szo_5s0xbaoT5x6jOn_AM2-UVZ</recordid><startdate>20190603</startdate><enddate>20190603</enddate><creator>Halder, Amlan K</creator><creator>Paliathanasis, Andronikos</creator><creator>Leach, PGL</creator><scope>AKZ</scope><scope>ALA</scope><scope>GOX</scope></search><sort><creationdate>20190603</creationdate><title>Singularity Analysis of a Variant of the Painlev{\'e}--Ince Equation</title><author>Halder, Amlan K ; Paliathanasis, Andronikos ; Leach, PGL</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-2146c95b7abfd4bd7742d9b7f9e73f88cd61cdfe2ab9d2519892f7cf0a58d1613</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Exactly Solvable and Integrable Systems</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Halder, Amlan K</creatorcontrib><creatorcontrib>Paliathanasis, Andronikos</creatorcontrib><creatorcontrib>Leach, PGL</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv Nonlinear Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Halder, Amlan K</au><au>Paliathanasis, Andronikos</au><au>Leach, PGL</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Singularity Analysis of a Variant of the Painlev{\'e}--Ince Equation</atitle><date>2019-06-03</date><risdate>2019</risdate><abstract>We examine by singularity analysis an equation derived by reduction using Lie
point symmetries from the Euler--Bernoulli Beam equation which is the
Painlev\'{e}--Ince Equation with additional terms. The equation possesses the
same leading-order behaviour and resonances as the Painlev\'{e}--Ince Equation
and has a Right Painlev\'{e} Series. However, it has no Left Painlev% \'{e}
Series. A conjecture for the existence of Left Painlev\'{e} Series for ordinary
differential equations is given.</abstract><doi>10.48550/arxiv.1906.00688</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Classical Analysis and ODEs Mathematics - Mathematical Physics Physics - Exactly Solvable and Integrable Systems Physics - Mathematical Physics |
| title | Singularity Analysis of a Variant of the Painlev{\'e}--Ince Equation |
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