Linear problems and hierarchies of Painlevé equations
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Publication:5504750
DOI10.1088/1751-8113/42/2/025210zbMath1153.37421OpenAlexW2001623347MaRDI QIDQ5504750
Publication date: 22 January 2009
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/42/2/025210
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)
Related Items (10)
On the properties of solutions of the equations in the generalized hierarchy of the equation \(P_{34}\) ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Extreme superposition: rogue waves of infinite order and the Painlevé-III hierarchy ⋮ Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation ⋮ Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs ⋮ Analytic properties of solutions to equations in the generalized hierarchy of the second Painlevé equation ⋮ On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs ⋮ On an extended second Painlevé hierarchy ⋮ On the mKdV-Liouville hierarchy and its self-similarity reduction ⋮ Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
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