Korotkevich A.O. «Direct numerical experiment on measuring of dispersion gravity waves in the presence of condensate» Письма в ЖЭТФ, 97, № 3-4, с. 145-149 (2013)

During previous numerical experiments on isotropic turbulence of surface gravity waves we observed formation of the long wave background (condensate). It was shown (Korotkevich, Phys. Rev. Lett. 101(7), 074504 (2008)), that presence of the condensate changes a spectrum of direct cascade, corresponding to the flux of energy to the small scales from pumping region (large scales). Recent experiments show that the inverse cascade spectrum is also affected by the condensate. In this case mechanism proposed as a cause for the change of direct cascade spectrum cannot work. But inverse cascade is directly influenced by the linear dispersion relation for waves, as a result direct measurement of the dispersion relation in the presence of condensate is necessary. We performed the measurement of this dispersion relation from the direct numerical experiment. The results demonstrate that in the region of inverse cascade influence of the condensate cannot be neglected.

Рубан В.П. «О модуляционной неустойчивости поверхностных волн на крупномасштабном сдвиговом течении» Письма в ЖЭТФ, 97, № 3-4, с. 215-220 (2013)

Рассмотрена задача о модуляционной неустойчивости слабонелинейной квазимонохроматической волны на поверхности глубокой воды при наличии коллинеарного стационарного крупномасштабного неоднородного течения (например, типа струи). В некотором диапазоне (тупых) углов падения волны по направлению к течению крутизна преломленной волны значительно увеличивается, что способствует усилению нелинейных эффектов, в том числе образованию так называемых аномальных волн (rogue waves). Выведено соответствующее данной ситуации нелинейное уравнение Шредингера с переменными коэффициентами, удобное для анализа модуляционной неустойчивости.

Didenkulova I.I., Nikolkina I.F., Pelinovsky E.N. «Rogue waves in the basin of intermediate depth and the possibility of their formation due to the modulational instability» Письма в ЖЭТФ, 97, № 3-4, с. 221-225 (2013)

Properties of rogue waves in the basin of intermediate depth are discussed in comparison with known properties of rogue waves in deep waters. Based on observations of rogue waves in the ocean of intermediate depth we demonstrate that the modulational instability can still play a significant role in their formation for basins of 20 m and larger depth. For basins of smaller depth, the influence of modulational instability is less probable. By using the rational solutions of the nonlinear Schrödinger equation (breathers), it is shown that the rogue wave packet becomes wider and contains more individual waves in intermediate rather than in deep waters, which is also confirmed by observations.