TY - JOUR
T1 - A class of differential equations of PI-type with the quasi-Painlevé property
AU - Shimomura, Shun
PY - 2007/4
Y1 - 2007/4
N2 - We present a certain class of second order nonlinear differential equations containing the first Painlevé equation (PI). Each equation in it admits the quasi-Painlevé property, namely every movable singularity of a general solution is at most an algebraic branch point. For these equations we show some basic properties.
AB - We present a certain class of second order nonlinear differential equations containing the first Painlevé equation (PI). Each equation in it admits the quasi-Painlevé property, namely every movable singularity of a general solution is at most an algebraic branch point. For these equations we show some basic properties.
KW - Hyperelliptic integral
KW - Nonlinear differential equation
KW - Painlevé equation
KW - Quasi-Painlevé property
UR - http://www.scopus.com/inward/record.url?scp=33846673990&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33846673990&partnerID=8YFLogxK
U2 - 10.1007/s10231-006-0004-3
DO - 10.1007/s10231-006-0004-3
M3 - Article
AN - SCOPUS:33846673990
SN - 0373-3114
VL - 186
SP - 267
EP - 280
JO - Annali di Matematica Pura ed Applicata
JF - Annali di Matematica Pura ed Applicata
IS - 2
ER -