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Solitons and Condensed Matter Physics pp 2–21Cite as

Solitons in Mathematics: Brief History

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 8))

Abstract

This article presents a brief history of the inverse scattering method for solving nonlinear evolution equations and the Hamiltonian structure associated with it. It is not a comprehensive survey of the different mathematics now concerned with soliton theory. To attempt the latter would be inappropriate for a meeting concerned with nonlinear dynamics and structure in condensed matter. In any case, soliton theory already ramifies into areas of mathematics, algebraic geometry, theory of Jacobian varieties, on the edge of the mathematical range of one of us (RKB).

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Author information

Authors and Affiliations

  1. Department of Mathematics, U.M.I.S.T., P.O. Box 88, Manchester, M60 1QD, Great Britain

    R. K. Bullough

  2. School of Mathematics, Trinity College, Dublin 2, Ireland

    R. K. Dodd

Authors
  1. R. K. Bullough
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  2. R. K. Dodd
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Editor information

Editors and Affiliations

  1. Department of Physics, Queen Mary College, Mile End Road, E1 4NS, London, England

    Alan R. Bishop B.Sc. Ph.D.

  2. IBM Zürich Research Laboratory, CH-8803, Rüschlikon, Switzerland

    Toni Schneider

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Bullough, R.K., Dodd, R.K. (1978). Solitons in Mathematics: Brief History. In: Bishop, A.R., Schneider, T. (eds) Solitons and Condensed Matter Physics. Springer Series in Solid-State Sciences, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81291-0_1

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  • DOI: https://doi.org/10.1007/978-3-642-81291-0_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81293-4

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