Title of article
On tronquée solutions of the first Painlevé hierarchy
Author/Authors
Dai، نويسنده , , Dan and Zhang، نويسنده , , Lun، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
7
From page
393
To page
399
Abstract
It 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.
Keywords
The first Painlevé hierarchy , Asymptotic analysis , Tronquée solution
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561068
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