The generation of sea surface waves by winds is one of the fundamental air-sea interaction processes which affect the global climate. Although this topic has been studied extensively through both physical modeling and experimental measurements, understanding of the physics involved remains limited due to the nonlinear phenomena implicit in both air flow and sea surface wave evolution. Numerical...

Bispectral and trispectral analyses are used to detect secondary and tertiary wave components resulting from nonlinear interactions among largeamplitude ocean surface gravity waves in 8and 13-m water depths. Bispectra of bottom-pressure measurements indicate forced secondary waves at frequencies 2fp about twice the primary power spectral peak frequency fp. However, the interpretation of the bis...

The weakly nonlinear dynamics of packets of equatorial Kelvin waves is studied using singular perturbation theory applied to the shallow water wave equations. Within the limits of the perturbation theory, which is formally restricted to weak mean shear and weak nonlinearity, we derive a Nonlinear Schroedinger equation to describe the envelope of the wave packet. We find that nonlinearity has a ...

where  and  are positive constants, was first proposed by Peregrine [74] for modeling the propagation of unidirectional weakly nonlinear and weakly dispersive water waves. Later on Benjamine et al. [9] proposed the use of the RLW equation as a preferred alternative to the more classical Korteweg de Vries (KdV) equation to model a large class of physical phenomena. These authors showed that RL...

We describe an exact solution of the nonlinear governing equations for the internal equatorial water waves with an underlying current in the f -plane approximation near the equator. Thesewaves travel westward at a constant speed, and a strong uniform horizontal current underlies the flow. © 2014 Elsevier Ltd. All rights reserved.

for the 30th International Workshop on Water Waves and Floating Bodies, Bristol (UK), 12 – 15 April, 2015 On the modeling of nonlinear wave-wave and wave-body interactions in a realistic sea state Wei Bai, Xingya Feng, Xianglong Chen and Kok Keng Ang Department of Civil and Environmental Engineering, National University of Singapore, Singapore E-mail: [email protected]

This work studies the rotation-generalized Benjamin-Ono equation which is derived from the theory of weakly nonlinear long surface and internal waves in deep water under the presence of rotation. It is shown that the solitary-wave solutions are orbitally stable for certain wave speeds.