On the increasing tritronquée solutions of the Painlevé-II equation
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Publication:1755862
DOI10.3842/SIGMA.2018.125zbMath1408.34071arXiv1804.03173OpenAlexW2798131332MaRDI QIDQ1755862
Publication date: 11 January 2019
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.03173
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)
Related Items (10)
Isomonodromic quantization of the second Painlevé equation by means of conservative Hamiltonian systems with two degrees of freedom ⋮ Open problems for Painlevé equations ⋮ Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy ⋮ On integrals of the tronquée solutions and the associated Hamiltonians for the Painlevé II equation ⋮ Connection Problem of the First Painlevé Transcendent Between Poles and Negative Infinity ⋮ Clarkson-McLeod solutions of the fourth Painlevé equation and the parabolic cylinder-kernel determinant ⋮ On the Maxwell‐Bloch system in the sharp‐line limit without solitons ⋮ Far-field asymptotics for multiple-pole solitons in the large-order limit ⋮ Singular asymptotics for solutions of the inhomogeneous Painlevé II equation ⋮ Large-degree asymptotics of rational Painlevé-IV solutions by the isomonodromy method
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Cites Work
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