Treffer: On the location of poles for the Ablowitz―Segur family of solutions to the second Painleve equation
Title:
On the location of poles for the Ablowitz―Segur family of solutions to the second Painleve equation
Authors:
Source:
Nonlinearity (Bristol. Print). 25(4):1179-1185
Publisher Information:
Bristol: Institute of Physics, 2012.
Publication Year:
2012
Physical Description:
print, 13 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Equations différentielles, Ordinary differential equations, Topologie. Variétés et complexes cellulaires. Analyse globale et analyse sur variétés, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds, Analyse globale, analyse sur des variétés, Global analysis, analysis on manifolds, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Analyse non linéaire, Nonlinear analysis, análisis no lineal, Equation Painlevé, Painlevé equation, Ecuación Painlevé, Physique mathématique, Mathematical physics, Física matemática, Pôle, Pole, Polo, Variable indépendante, Independent variable, Variable independiente, 34M55, Norme opérateur, Variable complexe
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve W., Montréal, Quebec, H3G 1M8, Canada
Centre de recherches mathematiques, Université de Montréal, Canada
Centre de recherches mathematiques, Université de Montréal, Canada
ISSN:
0951-7715
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.25768312
Database:
PASCAL Archive
Weitere Informationen
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.