On the perturbed second Painlevé equation *

Autor:	Joshua Holroyd, Nalini Joshi
Rok vydání:	2023
Předmět:	Statistics and Probability Modeling and Simulation General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics
Zdroj:	Journal of Physics A: Mathematical and Theoretical. 56:014002
ISSN:	1751-8121 1751-8113
Popis:	We consider a perturbed version of the second Painlevé equation ( P II ), which arises in applications, and show that it possesses solutions analogous to the celebrated Hastings–McLeod and tritronquée solutions of P II . The Hastings–McLeod-type solution of the perturbed equation is holomorphic, real-valued and positive on the whole real-line, while the tritronquée-type solution is holomorphic in a large sector of the complex plane. These properties also characterise the corresponding solutions of P II and are surprising because the perturbed equation does not possess additional distinctive properties that characterise P II , particularly the Painlevé property.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90a44d5c55e8252dc74a8e401b72b43f https://doi.org/10.1088/1751-8121/acb115 Zobrazit plný text záznamu