On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results (Q1106387)
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scientific article; zbMATH DE number 4061713
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| English | On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results |
scientific article; zbMATH DE number 4061713 |
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On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results (English)
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1987
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This paper proves the existence of asymptotic expansions to all orders for the solutions of the second Painlevé equation. Using the linearization obtained via a Riemann-Hilbert problem, the amplitude part of the connection formula for this equation is derived, and some other results obtained.
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second Painlevé equation
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Riemann-Hilbert problem
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