Integrability of the 2-D Non-Linear Schroedinger Equation

Gildemar C. Santos

doi:10.1143/JPSJ.58.2609

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Integrability of the 2-D Non-Linear Schroedinger Equation

Gildemar C. Santos

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Keywords: nonlinear Schroedinger equation, Fisher equation, Painlevé test

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1989 Volume 58 Issue 8 Pages 2609-2611

DOI https://doi.org/10.1143/JPSJ.58.2609

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Abstract

It is demonstrated that, after a change of coordinates, the cylindrical non-linear Schroedinger equation passes the Painlevé test. An oscillatory and a stationary exact solutions are found.

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