Studies in Applied Mathematics · 1979 · 197 citations · 17 references
Painlevé TranscendentsRational SolutionsBacklund TransformationAlgebraic AnalysisOscillation TheoryNonlinear EquationIntegrable SystemLie Point SymmetryEquations 3Degenerate CasesLinear Equation
With Bäcklund transformations, we construct explicit solutions of Painlevé equations 2 and 4. Independently, we find solutions of degenerate cases of equations 3 and 5. The six Painlevé transcendents are referred to as 1–6.
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