Abstract

The Painleve test for integrability is applied to the Kodama-Hasegawa higher-order nonlinear Schrodinger equation which describes ultra-short light pulses in optical fibers. Only the four known integrable cases of this equation pass the test if the standard Painleve property is required. However, there is another case of this equation with the weak Painleve property and softer constraints on parameters. The integrability of this new case remains unkhown, and its possible kind is discussed.

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