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

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

doi:10.1109/dd.2004.186026

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 proceeding › Conference 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 language	English
Title of host publication	Proceedings of the International Seminar - Days on Diffraction 2004
Publisher	Institute of Electrical and Electronics Engineers
Pages	154-162
Number of pages	9
ISBN (Print)	5965100647, 9785965100644
DOIs	https://doi.org/10.1109/dd.2004.186026
Publication status	Published - 2004
Externally published	Yes
Event	International Seminar - Days on Diffraction 2004 - St. Petersburg, Russian Federation Duration: Jun 29 2004 → Jul 2 2004

Publication series

Name	Proceedings of the International Seminar - Days on Diffraction 2004

Other

Other	International Seminar - Days on Diffraction 2004
Country/Territory	Russian Federation
City	St. Petersburg
Period	6/29/04 → 7/2/04

All Science Journal Classification (ASJC) codes

Engineering(all)

Access to Document

10.1109/dd.2004.186026

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 Proceedings of the International Seminar - Days on Diffraction 2004 (pp. 154-162). (Proceedings of the International Seminar - Days on Diffraction 2004). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/dd.2004.186026

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. Institute of Electrical and Electronics Engineers, 2004. p. 154-162 (Proceedings of the International Seminar - Days on Diffraction 2004).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Porubov, AV, Lavrenov, IV & Tsuji, H 2004, Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. in Proceedings of the International Seminar - Days on Diffraction 2004. Proceedings of the International Seminar - Days on Diffraction 2004, Institute of Electrical and Electronics Engineers, pp. 154-162, International Seminar - Days on Diffraction 2004, St. Petersburg, Russian Federation, 6/29/04. https://doi.org/10.1109/dd.2004.186026

Porubov AV, Lavrenov IV, Tsuji H. Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction. In Proceedings of the International Seminar - Days on Diffraction 2004. Institute of Electrical and Electronics Engineers. 2004. p. 154-162. (Proceedings of the International Seminar - Days on Diffraction 2004). doi: 10.1109/dd.2004.186026

@inproceedings{8dfd4ba2a09e4c408e09ba256eaac296,

title = "Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction",

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.",

author = "Porubov, {A. V.} and Lavrenov, {I. V.} and H. Tsuji",

year = "2004",

doi = "10.1109/dd.2004.186026",

language = "English",

isbn = "5965100647",

series = "Proceedings of the International Seminar - Days on Diffraction 2004",

publisher = "Institute of Electrical and Electronics Engineers",

pages = "154--162",

booktitle = "Proceedings of the International Seminar - Days on Diffraction 2004",

note = "International Seminar - Days on Diffraction 2004 ; Conference date: 29-06-2004 Through 02-07-2004",

}

TY - GEN

T1 - Formation of abnormally high localized waves due to nonlinear two-dimensional waves interaction

AU - Porubov, A. V.

AU - Lavrenov, I. V.

AU - Tsuji, H.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=29144492153&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144492153&partnerID=8YFLogxK

U2 - 10.1109/dd.2004.186026

DO - 10.1109/dd.2004.186026

M3 - Conference contribution

AN - SCOPUS:29144492153

SN - 5965100647

SN - 9785965100644

T3 - Proceedings of the International Seminar - Days on Diffraction 2004

SP - 154

EP - 162

BT - Proceedings of the International Seminar - Days on Diffraction 2004

PB - Institute of Electrical and Electronics Engineers

T2 - International Seminar - Days on Diffraction 2004

Y2 - 29 June 2004 through 2 July 2004

ER -

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

Abstract

Publication series

Other

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this