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

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

Natural Sciences, Mathematics, Physics +17

A universal instability of many-dimensional oscillator systems

B. V. Chirikov · Physics Reports · 1979 · 4.3K citations

Natural Sciences, Physics, Dynamical Systems +13

Ordinary Differential Equations

A. T. Lonseth, E. L. Ince · National Mathematics Magazine · 1945 · 3.2K citations

Natural Sciences, Mathematics, Differential Equations +6

Integrals of nonlinear equations of evolution and solitary waves

Peter D. Lax · Communications on Pure and Applied Mathematics · 1968 · 3.1K citations

Natural Sciences, Mathematics, Physics +14

The Painlevé property for partial differential equations

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

Natural Sciences, Mathematics, Physics +15