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http://hdl.handle.net/20.500.12358/21387
TitleSecond Painleve Hierarchies: Derivation and Basic Properties
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Abstract

In this thesis we studied the derivation of the Modified Korteweg-de Vries hierarchy from Korteweg-de Vries hierarchy. Then we derive the Flaschka-Newell second Painlev´e hierarchy from the Modified Korteweg-de Vries hierarchy. Moreover we study B¨acklund transformations, special solutions, and Lax pair representation of Flaschka-Newell second Painlev´e hierarchy. In addition we studied the derivation of Jimbo-Miwa second Painlev´e hierarchy as a reduction of a (2 + 1)-dimensional dispersive water wave non-isospectral hierarchy, and we derived some basic properties of this hierarchy such as B¨acklund transformations, special solutions, and we studied Lax pair representation.

Authors
Madi, Enas Ibrahim
Supervisors
Sakka, Ayman H.
Typeرسالة ماجستير
Date2015
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [441]
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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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