On the quasi-Ablowitz–Segur and quasi-Hastings–McLeod solutions of the inhomogeneous Painlevé II equation

DOI10.1142/S201032631840004XzbMath1416.33029arXiv1708.09357OpenAlexW2963116301MaRDI QIDQ5226436

Weiying Hu, Dan Dai

Publication date: 31 July 2019

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09357

zbMATH Keywords

Painlevé II equationBäcklund transformationHastings-McLeod solutionsAblowitz-Segur solutions

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Related Items (3)

Open problems for Painlevé equations ⋮ The \(k\)-tacnode process ⋮ Singular asymptotics for solutions of the inhomogeneous Painlevé II equation

Uses Software

• DLMF

Cites Work

• Unnamed Item
• A computational exploration of the second Painlevé equation
• A numerical methodology for the Painlevé equations
• Asymptotic solutions of nonlinear evolution equations and a Painlevé transcedent
• A connection formula for the second Painlevé transcendent
• A boundary value problem associated with the second Painleve transcendent and the Korteweg-de Vries equation
• Application of uniform asymptotics to the second Painlevé transcendent
• Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces
• The role of Painleve II in predicting new liquid crystal self-assembly mechanisms
• Connection formulae for Painlevé functions
• Painlevé differential equations in the complex plane
• Multi-critical unitary random matrix ensembles and the general Painlevé II equation
• A computational overview of the solution space of the imaginary Painlevé II equation
• Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation
• Asymptotic Solutions of the Korteweg-deVries Equation
• Quasi-linear Stokes phenomenon for the second Painlev  transcendent
• Asymptotics for the painlevé II equation
• Connection formulas for the Ablowitz–Segur solutions of the inhomogeneous Painlevé II equation

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