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KdV ’95 pp 39-67 | Cite as

Applications of KdV

  • D. G. Crighton

Abstract

The discovery of the remarkable interaction properties of solitary wave solutions to KdV by Zabusky and Kruskal [62] and the invention by Gardner, Greene, Kruskal and Miura [9] of the Inverse Spectral Transform for the solution of the Cauchy problem for KdV stand as two of the most far-reaching breakthroughs in the development of modern nonlinear mathematical science. Of all the completely integrable systems discovered since 1967, KdV certainly remains the most fully understood and arguably the most important for applications to macroscopic phenomena and processes.

Key words

gravity waves internal solitons nonlinear accoustics plasma physics 

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • D. G. Crighton
    • 1
  1. 1.Department of Applied Mathematics and Theoretical PhysicsUniversity of CambridgeCambridgeUK

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