Ognyan Christov

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In this paper we study the equation w (4) = 5w (w 2 − w) + 5w(w) 2 − w 5 + (λz + α)w + γ, which is one of the higher-order Painlevé equations (i.e., equations in the polynomial class having the Painlevé property). Like the classical Painlevé equations, this equation admits a Hamiltonian formulation, Bäcklund transformations and families of rational and(More)
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