Article information
2013 , Volume 18, ¹ 1, p.96-105
Shamin R.V., Gorlenko A.V., Smirnova A.I.
On the stability of rogue waves
Stability problems for the rogue waves are considered. These waves arise in ocean due to nonlinear dynamics of an ideal liquid with free surface. Mathematical problems of criteria of rogue waves are considered. The stability of the rogue waves to external perturbations applied on the free surface and perturbations of the initial data is considered. Stability criteria for rogue waves with respect to small perturbations of the free surface is analyzed.
[full text] Keywords: water waves, rogue waves, computing experiments
Author(s): Shamin Roman Vyacheslavovich Dr. , Senior Scientist Office: Shirshov Institute of Oceanology of the Russian Academy of Sciences Address: 117997, Russia, Moscow, Nakhimovski prosp., 36
E-mail: roman@shamin.ru Gorlenko Alexey Vyacheslavovich Office: Moscow aviation institute Address: 117997, Russia, Moscow, Nakhimovski prosp., 36
E-mail: agorlenko1@gmail.com Smirnova Anna Igorevna Office: Peoples Friendship University of Russia Address: 117997, Russia, Moscow, Nakhimovski prosp., 36
E-mail: smirnovaanna91@gmail.com
Bibliography link: Shamin R.V., Gorlenko A.V., Smirnova A.I. On the stability of rogue waves // Computational technologies. 2013. V. 18. ¹ 1. P. 96-105
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