2011
DOI: 10.1029/2010jc006392
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Interaction and generation of long-crested internal solitary waves in the South China Sea

Abstract: [1] Oblique nonlinear interactions based on the Kadomtsev-Petviashvili equation (also known as the two-dimensional Korteweg-de Vries equation) are extended to internal solitary waves (ISWs) to explain why the amplitude does not decrease owing to the geometric spreading of the cylindrical wavefronts in the South China Sea (SCS). This resonance theory is used to explain a satellite image exhibiting special features, and it is proposed that wave arcs of different amplitude resonate, providing a mechanism for rein… Show more

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Cited by 25 publications
(24 citation statements)
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“…The 1-dimensional KdV equation model, extended-KdV equation model, and regularized long wave (RLW) equation model, which were applicable to unidirectional ISWs, were commonly used (Grimshaw et al 2007), and usually some modifications were carried out to make the equation model more applicable to real oceanographic situations (Liu et al 1998;Cai et al 2002a). An approach that included two horizontal dimension effects, however only weakly, was the Kadomtsev and Petviashvili (K-P)-type equation model or the weakly dispersive depth-averaged equation model in a two-layer oceanic system (Lynett and Liu 2002;Cai and Xie 2010;Chen et al 2011). Both 1-dimensional and 2-dimensional propagation models were usually forced by solutions of a well-developed analytical soliton at the open boundaries.…”
Section: Propagation Of the Iswsmentioning
confidence: 99%
“…The 1-dimensional KdV equation model, extended-KdV equation model, and regularized long wave (RLW) equation model, which were applicable to unidirectional ISWs, were commonly used (Grimshaw et al 2007), and usually some modifications were carried out to make the equation model more applicable to real oceanographic situations (Liu et al 1998;Cai et al 2002a). An approach that included two horizontal dimension effects, however only weakly, was the Kadomtsev and Petviashvili (K-P)-type equation model or the weakly dispersive depth-averaged equation model in a two-layer oceanic system (Lynett and Liu 2002;Cai and Xie 2010;Chen et al 2011). Both 1-dimensional and 2-dimensional propagation models were usually forced by solutions of a well-developed analytical soliton at the open boundaries.…”
Section: Propagation Of the Iswsmentioning
confidence: 99%
“…The Philippine Sea is characterized by several strong generation sites of M 2 internal tides, including the Luzon Strait, Ryukyu Island chain, Bonin Ridge, and Mariana Arc, which are all distributed around the boundary area (Niwa & Hibiya, 2001;Simmons et al, 2004). The Luzon Strait can radiate energetic M 2 internal tides both westward into the South China Sea and eastward into the Philippine Sea, making it a research focus in the past decade (Alford et al, 2015;Buijsman et al, 2014;Chen et al, 2011;Farmer et al, 2011;Jan et al, 2008;Xu et al, 2013Xu et al, , 2014Xu et al, , 2016. The variability and energetics of M 2 internal tides around the Luzon Strait and Ryukyu Island chain were first investigated by numerical simulations assuming homogeneous stratification (Niwa & Hibiya, 2004).…”
Section: Introductionmentioning
confidence: 99%
“…Satellite images show that near Luzon Strait the long ISW fronts tend to parallel to the line source sites [e.g., Zheng et al , ], as simulated in Zhang et al []. In the northeastern SCS deep basin, however, circular/cylindrical ISW fronts would appear more easily due to nonlinear effects [ Zhao et al , ; Chen et al , ]. Moreover, due to refraction and diffraction effects of bottom topography, distorted/cusped ISW fronts could be frequently observed [e.g., Li et al , ] and well simulated [ Zhang et al , ] after bypassing Dongsha Atoll and propagating onto continental shelf.…”
Section: Introductionmentioning
confidence: 99%