Interaction Features of Internal Wave Breathers in a Stratified Ocean

Didenkulova, Ekaterina; Pelinovsky, Efim

doi:10.3390/fluids5040205

Cited by 3 publications

(1 citation statement)

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“…The interaction of breathers has been studied in the context of several different theoretical models. Didenkulova & Pelinovsky (2020) investigated the interaction of internal wave breathers using the mKdV equation focusing on the effects of the relative phases of the two breathers. Zhang, Zhai & Wang (2012) showed that an overtaking collision of two breather solutions of the modified nonlinear Schrödinger equation might be elastic, although only one overtaking collision case was investigated.…”

Section: Introductionmentioning

confidence: 99%

Breather interactions in a three-layer fluid

Nakayama

Lamb²

2023

J. Fluid Mech.

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In a three-layer system with equal upper and lower layer thicknesses that are sufficiently thin and with the same density difference across each interface, breathers have been shown to exist using fully nonlinear governing equations. These breathers are well modelled by theoretical solutions of the mKdV equation, provided the interfaces between the layers do not cross a critical depth. The soliton-like characteristics of fully nonlinear breathers, in particular how two breathers interact, have yet to be explored. Using numerical simulations, this study addresses this shortcoming by studying fully nonlinear overtaking collisions of two breathers in a three-layer symmetric stratification. We apply the fully nonlinear and strongly dispersive FDI-3s internal wave equations, based on a variational principle, in a three-layer system. When the amplitude is small, the analytic breathers fit the wave shapes of the overtaking collision breathers. We find that the larger the upper and lower layer thicknesses are, provided they are below the critical thickness, the more the breathers behave like solitons. We show that an overtaking collision of two breathers is close to elastic.

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Section: Introductionmentioning

confidence: 99%