TY - JOUR

T1 - Formation of the rogue wave due to non-linear two-dimensional waves interaction

AU - Porubov, A. V.

AU - Tsuji, H.

AU - Lavrenov, I. V.

AU - Oikawa, M.

N1 - Funding Information:
One of the authors (A.V.P.) thanks the Kyushu University (Japan) for their support in framework of a short-time visiting program. The research of the second author (H.T.) was partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Research, 15760382, 2004. The work of the third author (I.V.L.) has been supported by the INTAS under grants 99-0167, 01-234, 01-2156, and by the Russian Foundation for Basic Researches under grant 040564306.

PY - 2005/9

Y1 - 2005/9

N2 - 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.

AB - 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.

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U2 - 10.1016/j.wavemoti.2005.02.001

DO - 10.1016/j.wavemoti.2005.02.001

M3 - Article

AN - SCOPUS:21644434906

SN - 0165-2125

VL - 42

SP - 202

EP - 210

JO - Wave Motion

JF - Wave Motion

IS - 3

ER -