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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2024, том 29, выпуск 6, страницы 838–852 (Mi rcd1286)

Integral Formulas for the Painlevé-2 Transcendent

Oleg M. Kiselev

Innopolis University, ul. Universitetskaya 1, 420500 Innopolis, Russia

Аннотация: In the work we use integral formulas for calculating the monodromy data for the Painlevé-2 equation. The perturbation theory for the auxiliary linear system is constructed and formulas for the variation of the monodromy data are obtained. We also derive a formula for solving the linearized Painlevé-2 equation based on the Fourier-type integral of the squared solutions of the auxiliary linear system of equations.

Ключевые слова: nonlinearity, integrability, Painlevé

MSC: 34M56

Поступила в редакцию: 28.03.2024
Принята в печать: 22.06.2024

Язык публикации: английский

DOI: 10.1134/S1560354724560041



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