Partial differential equations possessing the Painleve property

Abstract

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.