Painleve Analysis And Special Solutions Of 2 Families Of Reaction Diffusion-Equations
Abbreviated Journal Title
Phys. Lett. A
ORDINARY DIFFERENTIAL-EQUATIONS; LINEAR EVOLUTION-EQUATIONS; SOLITARY; WAVE SOLUTIONS; P-TYPE; PROPERTY; CONNECTION; SYSTEMS; Physics, Multidisciplinary
A Painleve analysis is performed for two families of reaction-diffusion equations. Truncated expansions, relevant to equations having movable branch points at leading order, are used to construct special solutions for the two classes of reaction-diffusion equations. An auto-Backlund transformation between two solutions is constructed for an equation having a pole at leading order, leading to additional analytic solutions.
Physics Letters A
"Painleve Analysis And Special Solutions Of 2 Families Of Reaction Diffusion-Equations" (1991). Faculty Bibliography 1990s. 212.