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http://hdl.handle.net/20.500.12358/21362
TitleIsomonodromy problems and Painleve Hierarchies
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Abstract

In this thesis we show that the expansion of linear problems of the Painlev´e equation in powers of the spectral variable can be used to derive hierarchies of ordinary differential equations. We study the derivation of the first and second Painlev´e hierarchy from scalar isomonodromy problems. Moreover, we will give some special solutions of the second Painlev´e hierarchy. After this, we study the derivation of the first, second, third and fourth Painlev´e hierarchy from matrix isomonodromy problems. Moreover, we will study some special solutions of the hierarchies of the third and fourth painlev´e equations.

Authors
Almassri, Heba Shaweky
Supervisors
Sakka, Ayman H.
Typeرسالة ماجستير
Date2014
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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