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Classification of third order nonlinear differential equations transformable from the first or the second Painlevé ranscendents
2004 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis the first and second Painlevé equations are transformed by the generalized Sundman transformation into the most general third order ordinary differential equation. Propositions stating the necessary and sufficient conditions are given. Some unharmonic oscillators are classified using the obtained Propositions

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths, Painleve, generalized Sundman transformation, unharmonic, oscillators, differential equations, mathematics, matematik, transformationer, differentialekvationer
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-52992ISRN: LTU-C/DUPP--04/14--SELocal ID: a1077432-2cf7-433c-bb14-20c675b4568dOAI: diva2:1026365
Subject / course
Student thesis, at least 15 credits
Educational program
Mathematics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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