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Asymptotics of higher-order Painlevé equations

2009
We undertake an asymptotic study of a second Painlevé hierarchy based on the Jimbo-Miwa Lax pair in the limit as the independent variable approaches infinity. The hierarchy is defined by an infinite sequence of non-linear ordinary differential equations, indexed by order, with the classical second Painlevé equation as the first member.
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Large Time Asymptotics for the Fourth-Order Nonlinear Schrödinger Equation

Journal of Differential Equations, 2015
Pavel Ivanovich Naumkin, Nakao Hayashi
exaly  

Asymptotics for Some Nonlinear O.D.E. of the Second Order

Nonlinear Analysis: Theory, Methods & Applications, 1986
Alain Haraux
exaly  

Second-Order Asymptotics for the Gaussian MAC With Degraded Message Sets

IEEE Transactions on Information Theory, 2015
Vincent Y F Tan, Jonathan Scarlett
exaly  

First- and Second-Order Asymptotics for the Tail Distortion Risk Measure of Extreme Risks

Communications in Statistics - Theory and Methods, 2015
Fan Yang
exaly  

Second-Order Asymptotics for Source Coding, Dense Coding, and Pure-State Entanglement Conversions

IEEE Transactions on Information Theory, 2015
Felix Leditzky, Nilanjana Datta
exaly  

Second-Order Asymptotics in Fixed-Length Source Coding and Intrinsic Randomness

IEEE Transactions on Information Theory, 2008
Masahito Hayashi
exaly  

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