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The Nonlinear Schrödinger Equation

  • Thomas Schneider
Part of the Advanced Texts in Physics book series (ADTP)

Abstract

The nonlinear Schrödinger equation (NSE) is of particular importance in the description of nonlinear effects in optical fibers. It is named after the similarity that it shows to the well known equation derived by Erwin Schrödinger. This equation is one of the basics of quantum theory and describes the behavior of a particle in an arbitrary potential. Contrary to that, the NSE is based on the classical Maxwell Theory and it describes the behavior of wave packets in a nonlinear environment. But, as can be seen from the soliton section, these classical wave packets behave — under particular circumstances — like particles as well.

Keywords

Propagation Distance Group Velocity Dispersion Dispersion Slope Negative Dispersion Dispersion Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Thomas Schneider
    • 1
  1. 1.Fachhochschule LeipzigDeutsche Telekom AGLeipzigGermany

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