2019
DOI: 10.3390/fluids4010056
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Dynamics of Internal Envelope Solitons in a Rotating Fluid of a Variable Depth

Abstract: We consider the dynamics of internal envelope solitons in a two-layer rotating fluid with a linearly varying bottom. It is shown that the most probable frequency of a carrier wave which constitutes the solitary wave is the frequency where the growth rate of modulation instability is maximal. An envelope solitary wave of this frequency can be described by the conventional nonlinear Schrödinger equation. A soliton solution to this equation is presented for the time-like version of the nonlinear Schrödinger equat… Show more

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Cited by 5 publications
(1 citation statement)
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“…At lab scale, the formation of periodic nonlinear waves, or cnoidal waves for Korteweg-de Vries models (KdV), on closed and bounded systems was detected and the results were matched with theoretical calculations in low temperature interfacial systems [35,40], in confined rotating flows [28], and along circular chains of magnetic pendulums [29]. Experiments demonstrate the formation of rotating hollow polygons in 2D fluids, within good match with theoretical models of cnoidal waves [39][40][41][42][43][44][45][46][47].…”
Section: Introductionsupporting
confidence: 60%
“…At lab scale, the formation of periodic nonlinear waves, or cnoidal waves for Korteweg-de Vries models (KdV), on closed and bounded systems was detected and the results were matched with theoretical calculations in low temperature interfacial systems [35,40], in confined rotating flows [28], and along circular chains of magnetic pendulums [29]. Experiments demonstrate the formation of rotating hollow polygons in 2D fluids, within good match with theoretical models of cnoidal waves [39][40][41][42][43][44][45][46][47].…”
Section: Introductionsupporting
confidence: 60%