Ognyan Christov

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In this paper we study the equation w = 5w′′(w2 − w′) + 5w(w′)2 − w + (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 special(More)
The low-dimensional Gross–Neveu models are studied. For the systems, related to the Lie algebras so(4), so(5), sp(4), sl(3), we prove that they have Birkhoff-Gustavson normal forms which are integrable and non-degenerate in Kolmogorov–Arnold–Moser (KAM) theory sense. Unfortunately, this is not the case for systems with three degrees of freedom, related to(More)
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