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http://hdl.handle.net/20.500.12358/21387
Title | Second 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. |
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Type | رسالة ماجستير |
Date | 2015 |
Language | English |
Publisher | الجامعة الإسلامية - غزة |
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License | ![]() |
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file_1.pdf | 1.127Mb |