Browsing by Subject "Painleve property"

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    Painleve test and the Painleve equations hierarchies
    (2001) Jrad, Fahd
    Recently there has been a considerable interest in obtaining higher order ordinary differential equations having the Painleve property. In this thesis, starting from the first, the second and the third Painleve transcendents polynomial and non-polynomial type higher order ordinary differential equations having the Painleve property have been obtained by using the singular point analysis.
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    Partial differential equations possessing the Painleve property
    (1996) Jrad, Fahd
    111 this tli(\sis, a|)|)lying llie l^viiilovc tost (l(ivolo|)('.(l by VV(hss, 'labor ainl t biriK'vale (VV1X9) investigatc'd the Pa.inleve property of Ibirgers’ ty|)e of ('(piarioiis, KdV type of equations and the KP extc'iisions of th(' KdV i-yi)(' of ('i|na,tions. VVe showed that there a.rc^ iiiiinitely many e(|nations of t,h('S(' t-ypc's poss('ssing tlu^ Painleve propcn'ty and tims we elassiíi(MÍ tlnmi witJi res])ect to Pa.illlevé property.