المستخلص: |
In this thesis, we will study a generalized fourth and second (PIv-PII) Painleve hierarchy. Then we will obtain a fourth Painleve hierarchy as special case of this generalized PIv-PII hierarchy, we will also find the first and second member for this fourth Painleve hierarchy and some special solutions of this hierarchy will be considered. And we will derive a second fourth Painleve hierarchy by using scalar isomonodromy problem. The first and second member for this fourth Painleve hierarchy and special solutions for the second member of this hierarchy will be considered. Finally, we will derive a third fourth Painleve hierarchy, we will also find the first and second member for this fourth Painleve hierarchy and some spe¬cial solutions of this hierarchy will be considered.
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