Formation of the rogue wave due to non-linear two-dimensional waves interaction

A. V. Porubov, H. Tsuji, I. V. Lavrenov, M. Oikawa

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


It is shown that generation of the rogue waves in the ocean may be described in framework of non-linear two-dimensional shallow water theory where the simplest two-dimensional long wave non-linear model corresponds to the Kadomtsev-Petviashvili (KP) equation. Numerical solution of the KP equation is obtained to account for the formation of localized abnormally high amplitude wave due to a resonant superposition of two incidentally non-interacting long-crested waves. Peculiarities of the solution allow to explain rare and unexpected appearance of the rogue waves. However, our solution differs from the exact two-solitary wave solution of the KP equation used before for the rogue waves description.

Original languageEnglish
Pages (from-to)202-210
Number of pages9
JournalWave Motion
Issue number3
Publication statusPublished - Sept 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics


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