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Exact solutions of space–time dependent non-linear Schrödinger equations

✍ Scribed by Hang-yu Ruan; Hui-jun Li; Yi-xin Chen

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
219 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐equation to a NLS‐equation with a dispersion coefficient which decreases exponentially with increasing distance along the fiber. By this transformation we construct from well known solutions of the standard NLS‐equation some new exact solutions of the NLS‐equation with dispersion. Copyright 2004 John Wiley & Sons, Ltd.

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