In 1968 V.E. Zakharov derived the Nonlinear Schrödinger equation for the 2D water wave problem in the absence of surface tension, i.e., for the evolution of gravity driven surface water waves, in order to describe slow temporal and spatial modulations of a spatially and temporarily oscillating wave packet. In this paper we give a rigorous proof that the wave packets in the two-dimensional water...

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

as the t-wave section in electrocardiogram (ecg) illustrates the repolarisation phase of heart activity, the information which is accumulated in this section is so significant that can explain the proper operation of electrical activities in heart. long qt syndrome (lqt) and t-wave alternans (twa) have imperceptible effects on time and amplitude of t-wave interval. therefore, t-wave shapes of t...

Submitted for the DFD17 Meeting of The American Physical Society Reduced-order prediction of rogue waves in two-dimensional deep-water waves1 THEMISTOKLIS SAPSIS, MOHAMMAD FARAZMAND, MIT — We consider the problem of large wave prediction in two-dimensional water waves. Such waves form due to the synergistic effect of dispersive mixing of smaller wave groups and the action of localized nonlinear...

It has been reported worldwide that muddy seafloors can extract a significant fraction of the energy stored in overpassing ocean waves within several wavelengths. We consider a synthetic-seabed-carpet, supported by multiple springs and generators, that should extract wave energy the same way as muddy seafloor does. This paper presents the analytical model, the construction of the first working ...

The weakly nonlinear regime of transverse paramagnetic dust grain oscillations in dusty (complex) plasma crystals is discussed. The nonlinearity, which is related to the sheath electric/magnetic field(s) and to the inter–grain (electrostatic/magnetic dipole) interactions, is shown to lead to the generation of phase harmonics and, in the case of propagating transverse dust-lattice modes, to the ...

INTRODUCTION: The White River is a mountainous river with head waters on Mount Rainier. The Fish Barrier Structure on the White River serves as a collection point of migratory fish. Operators at the structure collect the fish and transport them upstream of Mud Mountain Dam. Currently, the fish barrier uses a weir to create a head differential, which stops the passage of the migrating fish. Howe...

In this paper we develop a higher-order nonlinear Schrodinger equation with variable coefficients to describe how a water wave packet will deform and eventually be destroyed as it propagates shoreward from deep to shallow water. It is well-known that in the framework of the usual nonlinear Schrodinger equation, a wave packet can only exist in deep water, more precisely when kh > 1.363 where k i...