Fixed-frequency Stokes wave expansion

Hsien-Kuo Chang*, Jin Cheng Liou

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Scopus citations


The study describes a new fixed-frequency Stokes wave theory that differs from previous Stokes wave theories that fix the wave number. The present wave expansion analytically reveals that the wavelength increases with wave height and exceeds than the wavelength obtained by linear wave theory. A method proposed to comparably transform the wave celerity of Fenton's [Fenton, J.D., 1985. A fifth-order Stokes theory for steady waves. Journal of Waterway, Port, Coastal and Ocean Engineering 111, 216-234.] wave theory to the present one. A direct calculation of the wavelength is introduced for practical solutions, avoiding the need to solve a nonlinear equation using an iterative numerical method.

Original languageEnglish
Pages (from-to)417-424
Number of pages8
JournalOcean Engineering
Issue number3-4
StatePublished - 1 Mar 2006


  • Direct computation
  • Stokes wave expansion
  • Wave celerity
  • Wavelength

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