Partial differential equations possessing the Painleve property

Ankara : Department of Mathematics and Institute of Engineering and Sciences, Bilkent University, 1996.Thesis (Master's) -- Bilkent University, 1996.Includes bibliographical references leaves 20.111 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.Jrad, FahdM.S

Painleve test and the Painleve equations hierarchies

Ankara : The Department of Mathematics and the Institute of Engineering and Sciences of Bilkent Univ., 2001.Thesis (Ph.D.) -- Bilkent University, 2001.Includes bibliographical references leaves 93-94Recently 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.Jrad, FahdPh.D

Painlevé test and higher order differential equations

Abstract Starting from the second Painlevé equation, we obtain Painlevé type equations of higher order by using the singular point analysis