A new technique in nonlinear singularity analysis (Q1423884)
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scientific article; zbMATH DE number 2051908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new technique in nonlinear singularity analysis |
scientific article; zbMATH DE number 2051908 |
Statements
A new technique in nonlinear singularity analysis (English)
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7 March 2004
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From authors' summary: The test for singularity structure proposed by Ablowitz, Ramani and Segur (1980) has been widely used to obtain necessary conditions for nonlinear ordinary differential equations (ODEs) to have the Painlevé property. In this paper, we provide an example of an ODE for which this standard test breaks down in a new and surprising way. We show how to overcome the problems presented by this equation by developing a new technique based on regular singular points of bilinear equations.
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Painlevé property
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complete integrability
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recursion operator
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singularity analysis
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