A general formalism for computing the nonlinear interactions between triads of coastally-trapped gravity and vorticity waves is developed. An analysis of the linearized problem reveals that gravity (or edge) waves and vorticity (or shear) waves exist as members of the same non-Sturm-Liouville eigenvalue problem, with unstable shear waves representing the complex eigenvalue portion of the result...

Using the energy-momentum complexes of Einstein, Bergmann-Thomson, LandauLifshitz (LL), Møller and Papapetrou we have tried to solve energy-momentum and colliding plane wave problems for Bertotti-Robinson (BR) space-time (it has been also a subject of an extensive study in the context of the so-called colliding plane wave problem in General relativity) in General Relativity (GR). Moreover Einst...

Surface tension plays a significant role as a restoration force in the setting of small-amplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.

Steep gravity-capillary waves are studied experimentally in a channel. The range of cyclic frequencies investigated is 6.94-9.80 Hz; namely, the high-frequency portion of the regime of internal resonances according to the weakly nonlinear theory (Wilton’s ripples). These wave trains are stable according to the nonlinear Schrodinger equation. The experimental wave trains are generated by large, ...