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dc.contributor.authorSteer, JNen
dc.contributor.authorMcAllister, MLen
dc.contributor.authorBorthwick, AGLen
dc.contributor.authorVan Deen Bremer, TSen

The coupled nonlinear Schrödinger equation (CNLSE) is a wave envelope evolution equation applicable to two crossing, narrow-banded wave systems. Modulational instability (MI), a feature of the nonlinear Schrödinger wave equation, is characterized (to first order) by an exponential growth of sideband components and the formation of distinct wave pulses, often containing extreme waves. Linear stability analysis of the CNLSE shows the effect of crossing angle, θ, on MI, and reveals instabilities between 0◦ < θ < 35◦, 46◦ < θ < 143◦, and 145◦ < θ < 180◦. Herein, the modulational stability of crossing wavetrains seeded with symmetrical sidebands is determined experimentally from tests in a circular wave basin. Experiments were carried out at 12 crossing angles between 0◦ ≤ θ ≤ 88◦, and strong unidirectional sideband growth was observed. This growth reduced significantly at angles beyond θ ≈ 20◦, reaching complete stability at θ = 30–40◦. We find satisfactory agreement between numerical predictions (using a time-marching CNLSE solver) and experimental measurements for all crossing angles.

dc.titleExperimental observation of modulational instability in crossing surface gravity wavetrainsen
dc.typeJournal Article
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
dc.rights.embargoperiodNot knownen
rioxxterms.typeJournal Article/Reviewen

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