low-vorticity waves in deep water

Lagrange form of the nonlinear Schrödinger equation for 1 low - vorticity waves in deep water

1 low-vorticity waves in deep water 2 3 Anatoly Abrashkin 1 and Efim Pelinovsky 2,3 4 1 National Research University Higher School of Economics (HSE), 5 25/12 Bol'shaya Pecherskaya str., Nizhny Novgorod, 603155, Russia 6 2 Institute of Applied Physics RAS, 46 Ulyanov str., Nizhny Novgorod, 603950, Russia 7 3 Nizhny Novgorod State Technical University n.a. R. Alekseev, 24 Minin str., Nizhny 8 No...

The Lagrange form of the nonlinear Schrödinger equation for low vorticity waves in deep water: rogue wave aspect by

Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water

The nonlinear Schrödinger (NLS) equation describing the propagation of weakly rotational wave packets in an infinitely deep fluid in Lagrangian coordinates has been derived. The vorticity is assumed to be an arbitrary function of Lagrangian coordinates and quadratic in the small parameter proportional to the wave steepness. The vorticity effects manifest themselves in a shift of the wave number...

The Lagrange form of the nonlinear Schrödinger equation for low - 1 vorticity waves in deep water : rogue wave aspect

3 Anatoly Abrashkin and Efim Pelinovsky 4 5 a National Research University Higher School of Economics (HSE), Nizhny Novgorod 6 603155, Russia 7 b Institute of Applied Physics, 603950, 46 Ulyanov str., Nizhny Novgorod, Russia 8 c Nizhny Novgorod State Technical University, Nizhny Novgorod, Russia 9 10 11 Abstract: 12 The nonlinear Schrödinger equation (NLS equation) describing weakly 13 rotation...

On Some Properties of Traveling Water Waves with Vorticity

We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.