The Generalized Chazy Equation from the Self‐Duality Equations

DOI10.1111/1467-9590.00121zbMath1136.34301OpenAlexW2070057226MaRDI QIDQ4784676

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Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00121

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (14)

Flat \((2,3,5)\)-distributions and Chazy's equations ⋮ Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation ⋮ First integrals of a generalized Darboux–Halphen system ⋮ Integrable systems and reductions of the self-dual Yang–Mills equations ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ The Chazy XII equation and Schwarz triangle functions ⋮ On a reduction of the generalized Darboux-Halphen system ⋮ Nonlinear differential equations of the second, third and fourth order with exact solutions ⋮ Polynomial dynamical systems and the Korteweg-de Vries equation ⋮ AUTOMORPHISM OF SOLUTIONS TO RAMANUJAN'S DIFFERENTIAL EQUATIONS AND OTHER RESULTS ⋮ Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I ⋮ Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters ⋮ Parameterizations of the Chazy Equation ⋮ Dynamical systems defining Jacobi's ϑ-constants

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