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- W1008498141 abstract "Abstract The six Painleve equations were first formulated about a century ago. Since the 1970s, it has become increasingly recognized that they play a fundamental role in a wide range of physical applications. A recently developed numerical pole field solver (Fornberg and Weideman, 2011) now allows their complete solutions spaces to be surveyed across the complex plane. Following such surveys of the P I , P I I and P I V equations, we consider here the case of the imaginary P I I equation (the standard P I I equation, with a change of sign for its nonlinear term). Solutions to this equation share many features with other classes of Painleve transcendents, including a rich variety of pole field configurations, with connection formulas linking asymptotic behaviors in different directions of the complex plane." @default.
- W1008498141 created "2016-06-24" @default.
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- W1008498141 date "2015-08-01" @default.
- W1008498141 modified "2023-09-27" @default.
- W1008498141 title "A computational overview of the solution space of the imaginary Painlevé II equation" @default.
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- W1008498141 doi "https://doi.org/10.1016/j.physd.2015.07.008" @default.
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