Improved Korteweg & de Vries type equation with consistent shoaling characteristics

S. Beji*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


An improved Korteweg & de Vries type equation for uneven water depths with consistent linear shoaling characteristics is derived. The improvement of the equation is with respect to linear dispersion characteristics while consistency in linear shoaling characteristics is achieved via an exact agreement of the shoaling rate of the wave equation with that obtained from the principle of energy flux concept. Improvements in both linear dispersion and linear shoaling properties are demonstrated analytically and numerically by simulating a challenging experimental test case of nonlinear wave propagation over a submerged bar.

Original languageEnglish
Pages (from-to)128-133
Number of pages6
JournalCoastal Engineering
Publication statusPublished - 1 Mar 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V.


  • Dispersion
  • Kortweg & de Vries equation
  • Nonlinearity
  • Shoaling
  • Varying water depths


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