Generation of nonlinear internal waves on continental shelf

Zhao Ting Xu*, Feng Chao Yao, Mei Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A 2-D KdV equation is derived under condition of arbitrary continuous density profiles. A non-fission version of initial internal solitary waves propagating onto the continental shelf is studied by means of the 2-D KdV equation. Under non-Bohr and Sommerfeld's condition, numerical calculations are carried out based on the KdV equation. The result shows that the initial internal solitary waves in deep ocean break down into internal undular bores on the continental shelf. And the bores have a like-soliton leading fronts and undular trails.

Original languageEnglish (US)
Pages (from-to)127-132
Number of pages6
JournalJournal of Hydrodynamics
Issue number3
StatePublished - Sep 2001
Externally publishedYes


  • Internal soliton
  • Internal undular bore
  • Internal undular solitary wave
  • KdV equation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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