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.

On the location of poles for the Ablowitz-Segur family of solutions to the second Painleve equation / Bertola, M.. - In: NONLINEARITY. - ISSN 0951-7715. - 25:4(2012), pp. 1179-1185. [10.1088/0951-7715/25/4/1179]

On the location of poles for the Ablowitz-Segur family of solutions to the second Painleve equation

Bertola, M.
2012-01-01

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.
2012
25
4
1179
1185
https://arxiv.org/abs/1203.2988
https://iopscience.iop.org/article/10.1088/0951-7715/25/4/1179/meta
Bertola, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14984
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