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Solitons in One-Dimensional Systems

  • Chapter
Electronic Properties of Inorganic Quasi-One-Dimensional Compounds

Part of the book series: Physics and Chemistry of Materials with Low-Dimensional Structures ((PCMB,volume 1))

Abstract

Although a soliton related phenomenon has been discovered by Scott-Russel [1] in 1834, it took a long time for solitons to acquire their present popularity. The object of the present chapter is two-fold: First we would like to familiarize the readers with the notion of solitons. This will be done through a brief historical introduction and with the help of some examples. Then some salient features of the sine-Gordon soliton are summarized in Section 2. Second we shall describe applications of the soliton notion to real systems. Section 3 is devoted to the magnetic systems, while Sections 4, 5 and 6 are devoted to the conducting systems. The general background for the present review may be found in [2–7]. In the following we shall sketch how the notion of soliton is developed and finds application in many branches of physics.

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  1. Department of Physics, University of Southern California, Los Angeles, CA, 90089-0484, USA

    Kazumi Maki

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  1. Centre de Recherches sur les Très Basses Températures, CNRS, 38000, Grenoble, France

    Pierre Monceau

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Maki, K. (1985). Solitons in One-Dimensional Systems. In: Monceau, P. (eds) Electronic Properties of Inorganic Quasi-One-Dimensional Compounds. Physics and Chemistry of Materials with Low-Dimensional Structures, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-6923-1_4

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