Numerical Construction of Nonlinear Wave Train Solutions of the Periodic Korteweg-de Vries Equation

  • A. R. Osborne
  • E. Segré
Part of the Inverse Problems and Theoretical Imaging book series (IPTI)


We discuss a numerical procedure for the construction of exact, nonlinear wave train solutions of the periodic Korteweg-de Vries (KdV) equation. We use an approach which is effectively a nonlinear Fourier decomposition of the wave motion formulated in terms of the periodic inverse scattering transform µ-representation. We construct solutions which have both narrow and broad-banded Fourier spectra and discuss some physical consequences of the propagation of complex, nonlinear wave motions.


Ocean Physics Wave Train Nonlinear Wave Equation Nonlinear Normal Mode Cnoidal Wave 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • A. R. Osborne
    • 1
  • E. Segré
    • 1
  1. 1.Istituto di Fisica Generale dell’Università and Istituto di Cosmo-GeofisicaCNRTorinoItaly

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