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Painlevé Analysis of a Higher-Order Nonlinear Schrödinger Equation

1997; Physical Society of Japan; Volume: 66; Issue: 9 Linguagem: Inglês

10.1143/jpsj.66.2527

1347-4073

Sergei Sakovich,

Advanced Mathematical Physics Problems

The Painlevé test for integrability is applied to the Kodama-Hasegawa higher-order nonlinear Schrödinger 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 Painlevé property is required. However, there is another case of this equation with the weak Painlevé property and softer constraints on parameters. The integrability of this new case remains unkhown, and its possible kind is discussed.