Solitons pp 65-106 | Cite as

Aspects of Soliton Physics

  • G. L. LambJr.
  • D. W. McLaughlin
Part of the Topics in Current Physics book series (TCPHY, volume 17)

Abstract

Solitons are nonlinear pulses which result from a balance between nonlinearity and dispersion. In this article examples are used to illustrate some connections between physical interacting systems and the solitons which such systems support. In different instances the interaction of an electric field with an assemblage of two-level atoms is shown to yield the solitons of self-induced transparency and the solitons of a nonlinear Schroedinger equation. One case of an electromagnetic wave interacting with a plasma is discussed which yields the solitons of the Kortewegde Vries equation. The interaction of a two-level atomic system with an electric field is used to introduce and to motivate the inverse scattering transform. Finally, connections between this transform, higher conservation laws, and Hamiltonian dynamics are discussed.

Keywords

Attenuation Propa Soliton Coherence Sine 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Authors and Affiliations

  • G. L. LambJr.
  • D. W. McLaughlin

There are no affiliations available

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