Maxim V. Shugaev,1 Anthony J. Manzo,2 Chengping Wu,1 Vladimir Yu. Zaitsev,1,3,4 Henry Helvajian,2 and Leonid V. Zhigilei1,* 1Department of Materials Science and Engineering, University of Virginia, 395 McCormik Road, Charlottesville, Virginia 22904-4745, USA 2Physical Sciences Laboratories, The Aerospace Corporation, P.O. Box 92957, Los Angeles, California 90009-2957, USA 3Institute of Applied ...

We describe theoretically and study experimentally nonlinear surface waves at the edge of a modulated waveguide array with a surface defect and a self-defocusing nonlinearity. We fabricate such structures in a LiNbO(3) crystal and demonstrate the beam switching to different output waveguides with a change of the light intensity due to nonlinear coupling between the linear surface modes supporte...

Observations from a lander fixed to the seafloor over the continental shelf in 124 m of water provide highly-resolved velocity measurements through nonlinear internal waves of elevation. From these measurements we directly determine, for the first time, the nonhydrostatic pressure disturbance (pnh) in nonlinear internal waves. For near-bottom waves of elevation ranging in amplitude (a) from 12 ...

Nonlinear partial differential equations are more suitable to model many physical phenomena in science and engineering. In this paper, we consider three nonlinear partial differential equations such as Novikov equation, an equation for surface water waves and the Geng-Xue coupled equation which serves as a model for the unidirectional propagation of the shallow water waves over a flat bottom. T...

Free surface modeling plays an important role in some ocean structures design, especially in Oscillating Water Column (OWC) devices. Boundary element method (BEM) is a suitable method for free surface modeling due to its simplicity, quick solving, and low data storage requirement. In this paper, BEM was used for free surface modeling in OWC chamber and out of it. Linear kinematic and dynamic bo...

We report on our recent development and validation of a new numerical model for fully nonlinear free surface waves generated by an advancing free surface disturbance. This model is based on potential flow theory with fully nonlinear free surface boundary conditions, which we solve in the time domain using a three-dimensional (3D) higher-order Boundary Element Method (HOBEM) combined with a seco...