Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It is shown that the simplest two-dimensional long wave nonlinear model for the propagation of the rogue waves corresponds to the Kadomtsev-Petviashvili (KP) equation. The mechanism of the rogue wave formation is suggested based on a resonant head-on collision of two plane incidentally non-interacting waves. Corresponding numerical solution of the KP equation is obtained to account for the formation of localized abnormally high amplitude wave. Peculiarities of the solution allows to explain rare but unexpected appearance of the rogue waves. The shape of the steady state of the solution differs from that of the exact two-soliton solution of the KP equation.

Original languageEnglish
Title of host publicationProceedings of the International Seminar - Days on Diffraction 2004
EditorsI.V. Andronov
Pages154-162
Number of pages9
Publication statusPublished - Dec 1 2004
EventInternational Seminar - Days on Diffraction 2004 - St. Petersburg, Russian Federation
Duration: Jun 29 2004Jul 2 2004

Publication series

NameProceedings of the International Seminar - Days on Diffraction 2004

Other

OtherInternational Seminar - Days on Diffraction 2004
CountryRussian Federation
CitySt. Petersburg
Period6/29/047/2/04

Fingerprint

Solitons
Wave propagation

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Porubov, A. V., Lavrenov, I. V., & Tsuji, H. (2004). Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. In I. V. Andronov (Ed.), Proceedings of the International Seminar - Days on Diffraction 2004 (pp. 154-162). (Proceedings of the International Seminar - Days on Diffraction 2004).

Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. / Porubov, A. V.; Lavrenov, I. V.; Tsuji, H.

Proceedings of the International Seminar - Days on Diffraction 2004. ed. / I.V. Andronov. 2004. p. 154-162 (Proceedings of the International Seminar - Days on Diffraction 2004).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Porubov, AV, Lavrenov, IV & Tsuji, H 2004, Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. in IV Andronov (ed.), Proceedings of the International Seminar - Days on Diffraction 2004. Proceedings of the International Seminar - Days on Diffraction 2004, pp. 154-162, International Seminar - Days on Diffraction 2004, St. Petersburg, Russian Federation, 6/29/04.
Porubov AV, Lavrenov IV, Tsuji H. Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. In Andronov IV, editor, Proceedings of the International Seminar - Days on Diffraction 2004. 2004. p. 154-162. (Proceedings of the International Seminar - Days on Diffraction 2004).
Porubov, A. V. ; Lavrenov, I. V. ; Tsuji, H. / Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. Proceedings of the International Seminar - Days on Diffraction 2004. editor / I.V. Andronov. 2004. pp. 154-162 (Proceedings of the International Seminar - Days on Diffraction 2004).
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