We investigate reaction-diffusion systems near parameter values that mark the transition from an excitable to an oscillatory medium. We analyze existence and stability of traveling waves near a steep pulse that arises as the limit of excitation pulses when parameters cross into the oscillatory regime. Traveling waves near this limiting profile are obtained by analyzing a codimension-two homocli...

Unexpectedly large ocean waves or 'rogues' are sometimes claimed to be the cause of damage to ships at sea and to offshore structures. While wind-driven wave models are capable of predicting the average characteristics of waves, the maximum height of rogues that may occur is yet unknown. Rogues form in the open ocean through the addition of elemental wave trains or groups and, infrequently, wit...

7 An analytical solution using homotopy analysis method is developed to describe the non8 linear progressive waves in water of finite depth. The velocity potential of the wave is ex9 pressed by Fourier series and the nonlinear free surface boundary conditions are satisfied by 10 continuous mapping. Unlike the perturbation method, the present approach is not dependent 11 on small parameters. Thu...

Calculations are presented of the rate of energy conversion of the barotropic tide into internal gravity waves above topography on the ocean floor. The ocean is treated as infinitely deep, and the topography consists of periodic obstructions; a Green function method is used to construct the scattered wavefield. The calculations extend the previous results of Balmforth et al. for subcritical top...

Recent studies have benchmarked the prediction of wave vertical bending moment (VBM) ships in waves and found significant scatter among numerical codes. A long series tests with segmented hulls been reported literature over past 70 years to assess moment. However, alongside improvement tools modeling ships’ internal loads, scientific community still requires accurate experimental data measured ...

The divergence in phenotype and habitat preference within the crested newt Triturus cristatus superspecies, examined across different ontogenetic stages, provides an excellent setting to explore the pattern of adaptive radiation. The crested newts form a well-supported monophyletic clade for which at least the full mitochondrial DNA phylogeny is resolved. Here we summarise studies that explored...

An instability near the transition to collective motion of self-propelled particles is studied numerically by Enskog-like kinetic theory. While hydrodynamics breaks down, the kinetic approach leads to steep solitonlike waves. These supersonic waves show hysteresis and lead to an abrupt jump of the global order parameter if the noise level is changed. Thus they provide a mean-field mechanism to ...