Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple

The Painlevé property for partial differential equations

John Weiss, M. Tabor, G. F. Carnevale · Journal of Mathematical Physics · 1983 · 2.1K citations

Geometric Partial Differential Equation, Modified Kdv Equation, Parabolic Equation +5

Soliton solutions of a coupled Korteweg-de Vries equation

Ryogo Hirota, Junkichi Satsuma · Physics Letters A · 1981 · 813 citations

Soliton Solutions, Topological Soliton, Nonlinear Hyperbolic Problem +1

The Painlevé property and singularity analysis of integrable and non-integrable systems

A. Ramani, B. Grammaticos, Tassos Bountis · Physics Reports · 1989 · 557 citations

Singularly Perturbed Problem, Painlevé Property, Integrable System +3

Nonlinear evolution equations and ordinary differential equations of painlevè type

Mark J. Ablowitz, A. Ramani, Harvey Segur · Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento · 1978 · 533 citations

Nonlinear Hyperbolic Problem, Nonlinear Equation, Evolution Equation +2

An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders

Masaaki Ito · Journal of the Physical Society of Japan · 1980 · 371 citations

Physics, Nonlinear Wave Propagation, Backlund Transformation +10