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On the location of poles for the Ablowitz–Segur family of solutions to the second Painlevé equation

Title:

On the location of poles for the Ablowitz–Segur family of solutions to the second Painlevé equation

Bertola, Marco (2012) On the location of poles for the Ablowitz–Segur family of solutions to the second Painlevé equation. Nonlinearity, 25 (4). pp. 1179-1185. ISSN 0951-7715

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Official URL: http://dx.doi.org/10.1088/0951-7715/25/4/1179

Abstract

Using a simple operator-norm estimate we show that the solution to the second Painlevé equation within the Ablowitz–Segur family is pole-free in a well-defined region of the complex plane of the independent variable. The result is illustrated with several numerical examples.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Refereed:Yes
Authors:Bertola, Marco
Journal or Publication:Nonlinearity
Date:2012
Digital Object Identifier (DOI):10.1088/0951-7715/25/4/1179
ID Code:976932
Deposited By: Danielle Dennie
Deposited On:05 Mar 2013 15:52
Last Modified:18 Jan 2018 17:43

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