AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions characterized by divergent asymptotic expansions near infinity in specified sectors of the complex plane. In this paper, we show that such solutions exist for higher order analogues of the first Painlevé equation (the first Painlevé hierarchy) as well
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
Abstract: Here we set out algorithm based on the three-dimensional power geometry, which a...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. ...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For t...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
Littlewood reported in his preface to Hardy’s "Divergent Series” that Abel said divergent series wer...
Littlewood reported in his preface to Hardy’s "Divergent Series” that Abel said divergent series wer...
The Painlevé equations are second order differential equations, which were first studied more than 1...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
A rigorous methodology for studying the initial value problems associated with certain integrable no...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applic...
The triply truncated solutions of the first Painlevé equation were specified by Boutroux in his famo...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
Abstract: Here we set out algorithm based on the three-dimensional power geometry, which a...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. ...
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For t...
AbstractIt is well known that, due to Boutroux, the first Painlevé equation admits solutions charact...
This book is the first comprehensive treatment of Painlevé differential equations in the complex pla...
Littlewood reported in his preface to Hardy’s "Divergent Series” that Abel said divergent series wer...
Littlewood reported in his preface to Hardy’s "Divergent Series” that Abel said divergent series wer...
The Painlevé equations are second order differential equations, which were first studied more than 1...
Abstract: We consider an ordinary differential equation of the fourth order, which is the ...
A rigorous methodology for studying the initial value problems associated with certain integrable no...
The NATO Advanced Research Workshop "Painleve Transcendents, their Asymp totics and Physical Applic...
The triply truncated solutions of the first Painlevé equation were specified by Boutroux in his famo...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
This paper is a contribution to the Special Issue on Painlevé Equations and Applications in Memory o...
Abstract: Here we set out algorithm based on the three-dimensional power geometry, which a...