Now showing items 1-10 of 10

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      Bäcklund Transformation for Discrete Painlevé Equations

      Abu Mugheisib, Ashraf A. (the islamic university, 2007)
      In this thesis we studied an algorithmic method for investigating transformation properties of discrete Painlevé equations. This method yields explicit transformations which relates the solutions of a given discrete Painlevé ...
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      Hamiltonian Structure of First and Second Painleve Hierarchies

      Mobark, Ayman A. (الجامعة الإسلامية - غزة, 2012)
      In this thesis, the derivation of first and second Painlev´e hierarchies and their Hamiltonian structures are studied. The first Painlev´e hierarchy is derived from the Kadomtsev-Petviashvili hierarchy and the linear problem ...
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      Isomonodromy problems and Painleve Hierarchies

      Almassri, Heba Shaweky (الجامعة الإسلامية - غزة, 2014)
      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 ...
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      On Cauchy Problems for Higher Order Painleve' Equations

      Baltayyan, Basema A. (الجامعة الإسلامية - غزة, 2013)
      A rigorous methodology for studying the initial value problems associated with certain integrable nonlinear ordinary differential equations was introduced by Fokas and Zhou, and was used to investigate Painlev´e second and ...
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      On Fourth Painleve Hierarchies

      El -shiekhalil, Sojoud Abd El - Hady (الجامعة الإسلامية - غزة, 2016)
      In this thesis we will study a generalized fourth and second (PIV -PII) Painlev´e hierarchy. Then we will obtain a fourth Painlev´e hierarchy as special case of this generalized PIV -PII hierarchy. we will also find the ...
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      On Scaling Reductions and Painlevé Hierarchies

      Baradat, Asmaa S. (الجامعة الإسلامية - غزة, 2017)
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      On Schlesinger Transformations for Higher Order Painleve Equations

      El-kahlout, Mahmoud Ahmed Mohammed (the islamic university, 2010)
      In this thesis, we studied the Schlesinger transformations solutions of the first three members of the Jimbo-Miwa second and fourth Painlev´e hierarchy. We have calculated Schlesinger transformations for these equations, ...
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      On Schlesinger Transformtions For Third Painleve Hierarchy

      Khalel, Shoma Mosalem Abo (الجامعة الإسلامية - غزة, 2015)
      The main objective of this thesis is to study the Schlesinger transformations of first, second and third members of third Painlev´e hierarchy. We have calculated Schlesinger transformations for these equations, which ...
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      Second Painleve Hierarchies: Derivation and Basic Properties

      Madi, Enas Ibrahim (الجامعة الإسلامية - غزة, 2015)
      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 ...
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      transformation properties of painleve equations

      Rahman, Hamdi Mahmoud A/ (the islamic university, 2002)