In this paper the wave breaking induced by modulational instability is investigated numerically. The wave train is composed by a fundamental component with two sideband disturbances and the analysis is performed for those conditions in which the instability leads the limiting steepness to be exceeded. Due to the different speeds characterizing individual waves and the peak of the envelope, the ...

In this paper we analyse a previously proposed cell-based model of glioblastoma (brain tumour) growth, which is based on the assumption that the cancer cells switch phenotypes between a proliferative and motile state (Gerlee and Nelander, 2012). The dynamics of this model can be described by a system of partial differential equations, which exhibits travelling wave solutions whose wave speed de...

Laboratory experiments were used to explore the influence of spatial focusing and diffraction on the evolution of unsteady, three-dimensional, deep-water wave-packets with a constant-steepness spectrum. The wave-packets were generated by thirteen independently programmed paddles and evolved to breaking near the midpoint of a 4m x 11 m test section. Detailed measurements of surface displacements...

The ordinary nonlinear Schrodinger equation for deep-water waves (found by a perturbation analysis to 0(€3 ) in the wave steepness €) compares unfavourably with the exact calculations of Longuet-Higgins (1978) for € > 0·10. Dysthe (1979) showed that a significant improvement is found by taking the perturbation analysis one step further to 0(€ ). One of the dominant new effects is the wave-induc...

Super Typhoons Maria (2018) and Lekima (2019) were adopted for this case study, although they only passed the northern offshore waters of Taiwan without making landfall. A direct modification technique was employed to create atmospheric conditions a wave-circulation model hindcast large typhoon-driven waves. The radius modified scale (Rtrs) hybrid typhoon wind plays an important role in signifi...

Physical model tests have been performed to study wave overtopping at rubble mound breakwaters, including breakwaters with a crest wall, berm, and wall berm. For structures protruding or stable limited information is available in literature even though walls berms clearly affect discharges. Adding an existing structure, increasing the height of adding width can be effective measures account for...

We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrödinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking...

The present paper deals with overtopping prediction for berm breakwaters in line the EurOtop methodology. basis is recent advances proposed conventional respect to influence of wave steepness and crest width. New model tests have been performed investigate applicability these factors breakwaters. To cover a white spot existing data breakwaters, included conditions very low steepness. results sh...