Painlevé equations. (Topical Term)

Work cat.: Its, A.R. The isomonodromic deformation method in the theory of Painlevé equations, c1986: p. 1 (Painlevé equations appeared in the theory of ordinary differential equations in connection with a classification problem for equations whose general integral, under certain conditions, must have no movable branch-type singularities. Of 50 types of equations of this form, only 6 cannot be reduced to linear equations, these are Painlevé equations; Painlevé functions or Painlevé transcendents)

CompuMath cit. index (Painlevé equations)

Encyc. dict. math.: p. 898 (under Sec. 284C are given the 6 Painlevé equations; Painlevé transcendental functions)

TEST; ASTI; McGraw-Hill dict. sci. tech.; Math. subj. classif.; James math. dict.